A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.

H0:β1=0Ha:β1≠0


The test yielded a t
t
-value of 3.34 with a corresponding p
p
-value of 0.001. Which of the following is the correct interpretation of the p
p
-value?

Answers

Answer 1

The correct interpretation of the p-value is 3.34.

We are given that;

t-value=3.34

Number of customers= 200

Now,

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true. In this case, the p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if the true slope of the linear relationship between the two ratings is zero. The p-value is very small, which indicates that the data provide strong evidence against the null hypothesis and in favor of the alternative hypothesis.

The p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if there is no linear relationship between the two ratings.

Therefore, by probability the answer will be 3.34

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Related Questions

State whether the decay is linear or​ exponential, and answer the associated question.
The value of a car is decreasing by 12% per year. If the car is worth $9,000 ​today, what will it be worth in two​ years?

Answers

_________________________________

= 12 × 9,000 ÷ 100= 1,080= 1,080 × 2= 2,160= 9,000 - 2,160= $6,840The Car Will Be Worth $6,840 After 2 Years

_________________________________

Answer:

$6,840

Step-by-step explanation:

help pls I don't understand it bc I'm not smart ​

Answers

Answer: the answer to be smart is to learn

Step-by-step explanation:

if you learn then you can understand the u are not smart

Don't worry, it's okay if you don't understand something right away!

What’s your question? :)

Which linear equation is represented in the graph?
A. y = 2x – 1

B. y = –2x – 1

C. y = –2x + 1

D. y = 2x + 1

Answers

I would say it's D but not 100 percent sure.

At Atlas Auto Sales, 51 of the 204 cars for sale are minivans. What percent of the cars are
minivans?

Answers

Answer: 25%

Step-by-step explanation:

51/204=0.25

0.25 x 100 = 25

Answer:25%

Step-by-step explanation:

q
5cm
X =
X
8cm
4cm
cm

Answers

Answer:

2.5 cm

Step-by-step explanation:

The small arrow is 1/2 the side of the large arrow.  1/2 of 5 is 2.5 or 2 1/2.

Helping in the name of Jesus.

Help please Given the diagram below, what statement could you make about the relationship between angles 1 and 4?

A) ∠1 is congruent to ∠4.
B) m∠1 is greater than m∠4.
C) m∠1 is less than m∠4.
D) ∠1 and ∠4 cannot be determined.

Answers

Answer:

A) angle 1 is congruent (equal size) to angle 4.

Step-by-step explanation:

when 2 lines intersect, then the intersection angles are the same on both sides of any of the lines. they are only left-right mirrored.

Answer:

A) angle 1 is congruent (equal size) to angle 4.

Step-by-step explanation:

If the given expression is multiplied by 36
, which expression is NOT equivalent?
Responses


A (32
)(38
)( 3 2 )( 3 8 )


B 910
9 10


C 310
3 10


D (35
)(35
)

Answers

Answer:

The correct answer is (C) 310.

Multiplying the given expression by 36 gives:

(32)(38) + (35)(35) - (33)(37)

= 1216 + 1225 - 1221

= 1220

So the equivalent expression is 1220.

Option (C) 310 is not equivalent to 1220.

Elaina is trying to fit the longest stick she can into her pet lizard’s tank. She knows running it diagonally from the front corner to the back will give her the most room but she is uncertain what size she should buy. What is the biggest length stick that will fit into her 12 by 8 by 8 tank?

Answers

The biggest length stick that will fit is 16.49 units long.

What is the biggest length stick for the tank?

The length stick which will fit into Elaina's 12* 8*8 tank can be found using the Pythagorean theorem.

The diagonal length, of tank will be equal to square root of the sum of the squares of its length, width and height.

So, the diagonal length of the tank, using Pythagorean theorem, is

= √(12² + 8² + 8²)

= √(144 + 64 + 64)

= √272

≈ 16.49.

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will mark as brainlist is answer correct. which meauser of center is the most appropriate answer for table two. pls give a reason. 25 points.

Answers

The meauser of center is the most appropriate answer for table two is the mean.

How to explain the mean

Mean, in terms of math, is the total added values of all the data in a set divided by the number of data in the set.

Each mean serves to summarize a given group of data, often to better understand the overall value of a given data set. Pythagorean means consist of arithmetic mean, geometric mean, and harmonic mean

It is the mean because all of the data points are fairly close and there aren't any outliers (extreme values).

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A college student takes the same number of credits each semester. They had 19 credits when they started, and after 6 semesters, they had 67 credits. Which of these expresses the rate at which they is earning credits?

Answers

As per the given variables, the rate at which they earn credits is 8 credits per semester

Total number of credits = 19

Total number of semesters = 6

Credits after six semesters = 67

Calculating the change in credits -

Change in credits -

Credits after six semesters - Inital credits

= 67  - 19

= 48 credits

Total time = 6 semesters

Calculating the change in credits over the six semesters and dividing by the total time to get the pace at which the college student is acquiring credits.

Therefore, the rate at which the college student is earning credits is:

Rate = Change in credits / Total time

= 48 credits / 6 semesters

= 8 credits per semester

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Can you help me with this

Answers

Answer:

[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]

Step-by-step explanation:

The square is 1 unit long and 1 unit wide
There are 3 smaller rectangles in the horizontal direction

Length of each rectangle is therefore 1/3 unit

There are 6 rectangles along the vertical direction

The height of each rectangle is therefore 1/6 unit

The shaded area is 2 rectangles wide and 3 rectangles in height

Width of shaded area = 2 x 1/3 = 2/3

Height of shaded region = 3 x 1/6 = 1/2

Area of shaded rectangle is

[tex]\dfrac{\boxed{2}}{\boxed{3}} \times \dfrac{\boxed{1}}{\boxed{2}} = \dfrac{\boxed{1}}{\boxed{3}}[/tex]

Help please Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons. What kind of reasoning is Jared using?

A)Inductive Reasoning
B)Deductive Reasoning

Answers

If Jared uses two theorems together to make a conjecture about the sum of the interior angles of pentagons, Jared is using deductive reasoning. Correct option is B.

Deductive reasoning is a logical process in which a conclusion is reached by applying general principles or known information to specific situations. In this case, Jared is using two theorems, which are general principles that have been proven to be true, to make a conclusion about a specific situation, the sum of interior angles of pentagons.

The conclusion that Jared makes is a conjecture, which is a hypothesis or a tentative conclusion that is based on limited evidence or observation.

In contrast, inductive reasoning is a logical process in which a conclusion is reached based on a series of observations or specific instances. Inductive reasoning involves making generalizations based on specific observations, which can lead to a hypothesis or a theory.

Therefore, Jared's use of two theorems to make a conclusion is an example of deductive reasoning. Correct option is B.

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pleaseeeee helpppppp

Answers

You need to pick any number on the top row, for example…2. Then you multiply that by 2. 2x2=4. Then you do the same for the next two boxes.

Rewrite the cylinder volume formula to solve for r.

Answers

Answer:

[tex]v = \pi {r}^{2} h[/tex]

[tex] {r}^{2} = \frac{v}{\pi \times h} [/tex]

[tex]r = \sqrt{ \frac{v}{\pi \times h} } [/tex]

D is the correct answer.

Which of the following are necessary when proving that the opposite angles
of a parallelogram are congruent? Check all that apply.
A. Corresponding parts of similar triangles are similar.
B. Corresponding parts of congruent triangles are congruent.
C. Opposite sides are perpendicular.
D. Opposite sides are congruent.
SUBMIT

Answers

Answer:

  B. CPCTC

  D.  opposite sides are congruent

Step-by-step explanation:

You want to know the necessary claims for proving opposite angles are congruent in a parallelogram.

Proof

Given parallelogram ABCD and diagonal AC, you can prove opposite angles congruent in this way:

  AB≅CD and BC≅DA . . . . . opposite sides are congruent

  AC≅CA . . . . . . . . . . . . . . reflexive property of congruence

  ∆ABC≅∆CDA . . . . . . . . . . . SSS congruence

  ∠B ≅ ∠D . . . . . . . . . . . . Corresponding parts of congruent triangles

When doing the proof, the necessary claims are ...

  B. Corresponding parts of congruent triangles are congruent

  D. Opposite sides are congruent.

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Help me with this question please

Answers

Answer:

[tex]c. 1/5[/tex]

Step-by-step explanation:

You have the points (-5, 0) and (0, 1).

To find the slope, b, of the original line, you can use the formula [tex](y_{1}-y_2) /(x_1-x_2)[/tex].

[tex]b = (0-1)/(-5-0) = -1/-5 = 1/5.[/tex]

The slope of a line parallel to the original line would have the same slope as the original line, therefore [tex]1/5.[/tex]

A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course:
2,14,1,2,−6
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Step 3 of 4 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

The critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

What is Critical value ?

In statistics, a critical value is a threshold value that is used to determine whether to reject or fail to reject the null hypothesis in a statistical test. It is typically based on the significance level of the test, which is the probability of rejecting the null hypothesis when it is actually true.

To find the critical value for a 90% confidence interval with n = 5, we need to use a t-distribution with (n-1) degrees of freedom.

Using a t-distribution table or a calculator, we can find the critical value with a 90% confidence level and 4 degrees of freedom (n-1 = 5-1 = 4) to be approximately 2.132.

Therefore, the critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

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9. What is the volume of a rectangular prism with a length of 11 meters, width of 26 meters, and height of 38 meters?​

Answers

Answer:

10868

Step-by-step explanation:

11x26=286

286x38=10868

Question Content Area Tanning Company analyzes its receivables to estimate uncollectible accounts. The accounts receivable balance is $310,000 and credit sales are $1,000,000. An aging of accounts receivable estimates that $21,700 of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if Allowance for Doubtful Accounts has a credit balance of $2,200 before adjustment?

Answers

The adjusting entry that Tanning Company will make for Allowance for Doubtful Account will be:

Debit: Bad Debt Expense $21,500Credit: Allowance for Doubtful Accounts $21,500

How will Tanning Company adjust the allowance?

Data:

Total credit sales = $1,000,000

Accounts receivable balance = $310,000

Estimated uncollectible receivables = $21,700

The adjusted balance for allowance for doubtful accounts will be:

= Credit balance + Estimated uncollectible receivables

= $2,200 + $21,700

= $23,900

So, the Company will make an adjusting entry by debiting Bad Debt Expense for $21,500 and crediting Allowance for Doubtful Accounts for $21,500 which will increase the balance of the allowance for doubtful accounts to $23,900.

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100 Points!!! Algebra question. Use synthetic substitution to find f(-3) and f(4) for 3x^4-4x^3+3x^2-5x-3. Please show as much work as possible. Photo attached. Thank you!

Answers

The mapping of the function f(x) given as 3x⁴ - 4x³ + 3x² - 5x - 3 is define at;

-3, f(-3) = 390 and at 4, f(4) = 537

What is a function

A function is a rule that defines a relationship between one variable. It is the mapping whose codomain is the set of real numbers

By substitution:

For x = -3;

f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3

f(-3) = 3(81) + 4(27) + 3(9) + 15 - 3

f(-3) = 243 + 108 + 27 + 15 - 3

f(-3) = 390

For x = 4;

f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3

f(4) = 3(256) - 4(64) + 3(16) - 20 - 3

f(4) = 768 - 256 + 48 - 20 - 3

f(4) = 537

Therefore, the mapping of the function f(x) = 3x⁴ - 4x³ + 3x² - 5x - 3 for the values of x: -3 and 4 we have the results 390 and 537 respectively.

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Patrick spent last summer working in construction with his dad, and he put of his earnings into a new high-yield savings account. The money in this savings account will increase by each . Write an exponential equation in the form Patrick's account, , after starting the account. that can model the amount of money in Use whole numbers, decimals, or simplified fractions for the values of and . □ \frac {\square }{\square } (\square ) If Patrick makes no other deposits or withdrawals, after how many will his account have more than ? Submit

Answers

a) An exponential equation in the form of y = a(b)ˣ that can model the amount of money (future value) in Patrick's account, y, x years after starting the account is y = 894(1.02)ˣ.

b) If Patrick makes no other deposits or withdrawals, after 5 years or approximately 6 years his account will have more than $1,000 (future value).

What is an exponential equation?

An exponential equation is a mathematical function, written in the form of y = a(b)ˣ, where y is the ending value, a is the initial value, b is the growth or decay rate, and x is the exponent or number of years.

Thus, there are two types of exponential functions: exponential growth and exponential decay functions.

y = 894(1.02)^6

1,000 ≤ 894(1.02)ˣ

I/Y (Interest per year) = 2%

Present Value = $894

FV (Future Value) ≥ $-1,000

Results:

x = 5.658

x ≈ 6 years

= $1,006.79

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Complete Question:

Patrick spent last summer working in construction with his dad, and he put $894 of his earnings into a new high-yield savings account. The money in this savings account will increase by 2% each year.

a) Write an exponential equation in the form of y = a(b)ˣ that can model the amount of money in Patrick's account, y, x years after starting the account. Use whole numbers, decimals, or simplified fractions for the values of a and b.

y =

b) If Patrick makes no other deposits or withdrawals, after how many years will his account have more than $1,000?

What is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 96 words per​ minute?

Answers

Answer:

Step-by-step explanation:

We can calculate the t-statistic and the p-value as follows:

If we assume that the null hypothesis is true, then the t-statistic will follow a t-distribution with 19 degrees of freedom. We can compare the calculated t-statistic with the critical t-value at the 0.05 level of significance using a t-distribution table or statistical software.

If the calculated t-statistic is greater than the critical t-value, then we can reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the population mean reading rate is greater than 96 words per minute.

The p-value is the probability of obtaining a t-statistic as extreme or more extreme than the calculated t-statistic, assuming the null hypothesis is true. We can use the t-distribution table or statistical software to find the corresponding p-value.

If the p-value is less than the significance level of 0.05, then we can reject the null hypothesis at the 0.05 level of significance and conclude that the probability of obtaining a random sample of 20 second grade students with a mean reading rate of more than 96 words per minute is statistically significant.

HELP PLEASE I REALLY NEED HELP ON THIS QUESTION HELP!

Answers

Answer:

No I don't. The editor will receive 360 undelivered mail.

Step-by-step explanation:

He sends 12000 emails, 3/100 of them come back undelivered.

Multiply to find the answer:

12000 x 3/100 = 36000/100 = 360

Simple as that; the editor will find that 360 of his sent emails will come back undelivered.

does a number being squared with x and being negative make it so it has to be multiplied by 2 like the first number in the third part of the question? I'm unsure where it came from

Answers

Squaring a number implies increasing it by itself. In case the number being squared is negative, the result will continuously be positive. Increasing a number by 2 implies multiplying it, which is not linked to squaring a number.

What is the number  about?

To square a number, one must raise it to the power of two, that is different from carrying out its multiplication with itself. One way of squaring a value is shown by taking the number 3 and raising it to the power of 2.

3² = 3 x 3 = 9

By the same way , if we raise -2 to the power of 2, the result will be a positive value of four.

Raising numbers to the power of two is a frequent mathematical procedure use in numerous academic fields such as algebra, geometry, physics, and statistics.

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Category: nr percentages
question_id: 5782
Alex is really upset. He invested a lot of money in shares and only has $72,800 left of his original
investment. His shares dropped in value by 35% in 4 days. What amount did Alex pay for his shares
to being with?

Answers

Let X be the original amount that Alex paid for his shares.

After a 35% drop in value, Alex's shares are worth 65% of their original value.

So, we can write the equation:

0.65X = 72800

Solving for X, we divide both sides by 0.65:

X = 72800 / 0.65

X ≈ $112,000

Therefore, Alex paid around $112,000 for his shares to begin with.

Answer:

Let's start by using algebra to solve for the original amount that Alex paid for his shares.

Let X be the original amount that Alex paid for his shares.

We know that his shares dropped in value by 35%, so after the drop, he had 65% of his original investment left:

0.65X = $72,800

Solving for X:

X = $72,800 / 0.65

X = $112,000

Therefore, Alex paid $112,000 for his shares to begin with.

Someone help i really need help with this

Answers

The percentage increase in the number of water bottles from February to April is 19%.

How to find the percentage increase?

A company manufactures water bottles. The list describes the amount of water bottles manufactured in three months.

Therefore,

February: 4100 water bottles

March: 7% more water bottles than in February

April: 500 more water bottles than in march

Therefore,

Number of water bottles in march = 4100 + 7% of 4100

Number of water bottles in march =4100 + 7 / 100 × 4100

Number of water bottles in march = 4100 + 287

Number of water bottles in march =  4387

Hence,

Number of water bottles manufactured in April = 4387 + 500 = 4887

Therefore,

percentage increase from February to April = 4887 - 4100 / 4100 × 100

percentage increase from February to April = 787 / 4100 × 100

percentage increase from February to April = 78700 / 4100

percentage increase from February to April = 19.1951219512

percentage increase from February to April = 19%

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The whole page tysmmmm plsss step by step explanation

Answers

Answer:

Step 1:

a.) 16 pets in total (1 + 0 + 2 + 0 + 3 + 8 + 0 + 2)

b.) the mean is 2 (16 is the total number of pets, divide that by 8 which is the total number of students asked, 16/8 = 2)

Step 2:

a.) 0, 0, 0, 1, 2, 2, 3, 8 (zero, one, two, three, four, five, six, seven, eight.)

b.) 0 and 3 are the middle numbers (center.)

c.) 3/2 = 1.5 (0+3 = 3 divided by 2 = 1.5)

Step 3:

- most of the students did not have any pets, so the mode would be 0 (it is zero because zero appears in the set of numbers 3 times. More than any other number).


Step 4:

They should use the mean of the amount of pets the students have; this is because the mean is the average amount of pets counting everyone in class—regardless on if there were zeros in the list.

Less than 53% of adults would erase all of their personal information online if they could . The hypothesis test results in a p-value of 0.0059

Answers

A conclusion on the null hypothesis is C. Reject H_{0} because the P-value is less than or equal to a.

What should happen to the null hypothesis ?

Stated in the initial description is the null hypothesis, establishing that adults who possess a desire to eliminate all personal information available online would equate to or exceed 53%, while the alternative conjecture rests on this percentage being under 53%.

The statistical significance level at hand designated as alpha equals 0.05 indicates that a P-Value having less than or equal value of 0.05 is necessary for declining the null hypothesis. As provided by the task's question, the computed P-value registers a score of 0.0059 which falls below the established significance level of 0.50 and thus resulting in null hypothesis rejection.

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An angle measures 132 . What is the measure of its supplement

Answers

Answer: 48

Step-by-step explanation:

180-132=48

Answer:

48

Step-by-step explanation:

angle = 132

supplementary angle = 180

measure of supplementary angle = 180 - 132 = 48

thus the measure of the supplement is 48

hope you got your answer.

The same item is on sale at two stores. Which one is the better price? 60% off $60 or 55% off %50

Answers

Answer:

The item when it is costs $50 and there is a 55% item, as the cost would be $22.50

Step-by-step explanation:

Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.

[tex]N(P)=O-(P*O)[/tex], where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)

First store:  Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):

[tex]N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24[/tex]

Second store:  For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):

[tex]N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50[/tex]

Thus, the second store has the better price

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