Answer:
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
Step-by-step explanation:
The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82
The p- value is defined as obtaining the test statistic under H0 as extreme as observed.
When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.
There fore option C is the best answer.
A)There is a 2 percent chance that the company's claim is correct.
B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.
E) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.
The p-value is defined as obtaining the test statistic under H₀ as extreme as observed. Then the correct option is C.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
The value of the chi-square test statistic was 7.82 and the p-value is 0.02. This means that if the null hypothesis were true if there is a 2% chance of obtaining a chi-square value of at least 7.82.
The p-value is defined as obtaining the test statistic under H₀ as extreme as observed.
Thus, the correct option is C.
More about the null hypotheses and the alternative hypotheses link is given below.
https://brainly.com/question/9504281
What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.
Answer: distance is 5.4
Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is
√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29
The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
What is the distance formula?The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,
Distance = √((x₂ - x₁)² + (y₂ - y₁)²).
How do we solve the given question?We are asked to find the distance between the points (-6, 2) and (-4, 7).
We will determine the distance using the distance formula, by which
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
or, Distance = √(((-4) - (-6))² + (7 - 2)²)
or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29
∴ Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).
∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
Learn more about the Distance Formula at
https://brainly.com/question/7243416
#SPJ2
Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this?
5. Claude is wrapping cylindrical bug spray containers in tissue paper to put them inside a box.
Each container has a height of 12.7 centimeters and a radius of 3 centimeters.
If he is wrapping a total of 5 bug spray containers, how many square
centimeters of tissue paper will he need?
Answer:
[tex]1197.42\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of cylinder, h = 12.7 cm
The radius of the cylinder, r = 3 cm
The curved surface area of a cylinder for 5 bug spray is given by :
[tex]C=5\times 2\pi rh\\\\C=10\times \dfrac{22}{7}\times 3\times 12.7\\\\C=1197.42\ cm^2[/tex]
So, [tex]1197.42\ cm^2[/tex] of tissue papers will be needed.
A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?
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Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
__
b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
__
c) Equating the expressions for area, we have ...
w(4w -15) = w²
__
d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
__
e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
I need help!!!!! It’s urgent
Answer:
do a line conforming to the table days=x sales =y
Step-by-step explanation:
a group of students measure the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform and analysis of the date set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set.
Data set:
Time (seconds) distance (meters)
5. 1.0
6. 1.2
7. 2.4
8. 3.3
9. 3.7
10. 11.0
11. 4.2
12. 3.7
13. 4.8
14. 4.5
15. 4.9
Answer:
In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.
If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.
Step-by-step explanation:
In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.
If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.
Please find the attach graph
Answer:
The mean and range of distance change
Step-by-step explanation:
How do I simplify 55/35
Answer:
1 4/7
Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)
Keep doing that until you can't find a number that works.
In this case try 5.
55 ÷ 5 = 11 and 35 ÷ 5 = 7
so: 55/35 = 11/7
since the top number is greater than the bottom, reduce 11/7 to 1 4/7
Answer:
[tex] \frac{55}{35} \\ \frac{11}{7} \\ 1.57[/tex]
According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15
Where is the diagram???
Solve the system 8y-5z=23 3y-2z=6
100 POINTS
Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Help mee it’s due tonight!!
Answer:
It's [tex]\frac{1}{288}[/tex]
Step-by-step explanation:
Replace x and y in the equation, it will look like this:
[tex]2(\frac{-1}{3})^2(\frac{1}{4})^3\\[/tex]
[tex]2(\frac{1}{9})(\frac{1}{64})[/tex]
[tex]2(\frac{1}{576})[/tex]
[tex]\frac{2}{576}=\frac{1}{288}[/tex]
The perimeter of the rectangle below is 108 units. Find the length of side VW.
Answer:
can u add a pic or any other measuremeants?
Step-by-step explanation:
In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. Use the given preliminary estimate to determine the sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02. (Round your answer up to the nearest integer.)
Answer:
The sample size required is of 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.
This means that [tex]\pi = 0.4[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.
The sample size required is of n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]
[tex]n = 2304.96[/tex]
Rounding up
The sample size required is of 2305.
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
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Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
use the given area to find the scale factor from the small figure to the large
1.6 x 0.7 =
plsss help
Answer:
1.12
Step-by-step explanation:
Answer:
1.12
Step-by-step explanation:
Danielle has two interest rates to choose from to invest her inheritance of $5,000.
BANK A: 2.75% compounded monthly; BANK B: 3.25 compounded semi-annually
Complete Danielle's work to find the better return after 10 years.
Answer:
Bank B had the better return after 10 years.
Step-by-step explanation:
Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20
Answer:
B
Step-by-step explanation
ed 2020
213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
What is the volume of this figure? A:320 inches cube, B:400 inches cube, C: 480 inches cube or, D:560 inches cube?
Answer:
480 in³
Step-by-step explanation:
15x4x4=240
10x4x4=160
5x4x4=80
240+160+80=480
Find the missing fraction. 1/2 + blank = 7/8
Answer:
j
Step-by-step explanation:
Pleaseee helppp which one is and whyy!!!!
Answer:
c = 17(83)-17(16)=1139
Step-by-step explanation:
which statement is true?
Answer:
a because i just know it
Which equation has the same solution as
1/2 (4x-1/3) +2/3x=3 (x-1/6)
Answer:
You would have to add the options.
Step-by-step explanation:
The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
What is the length of the rectangle?
Let x = the width of the rectangle.
Which let statement would you use for the length?
Let the width be x cm
Length = 2x cm
Perimeter = 2 ( x + 2x) = 42
3x = 21
x = 7 cm
ANSWER Length 14cm , Width = 7cm
What does the unknown number round to when rounded to the nearest whole?
Answer:
0
Step-by-step explanation:
Trigonometry question
Answer:
The answer would be 6.8 I believe.
Step-by-step explanation:
Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.
Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x
Step 3: Then solve the equation, so you would do
8cos32=x
Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.
I hope this helps and that I did it right!!
no links please or you will be reported .
Answer:
Step-by-step explanation:
2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees. Hopefully this is correct
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
Choose Yes or No to tell if the number 3.23 will make each equation true.
4.65 + □ = 7.88
Choose...
□ + 6.42 = 9.45
Choose...
2.85 + □ = 6.08
Choose...
□ + 8.49 = 10.72
Choose...
Answer:
yes
no
yes
no
Step-by-step explanation:
i think its right
Answer:
4.65 + □ = 7.88
Choose... Yes!
□ + 6.42 = 9.45
Choose...No
2.85 + □ = 6.08
Choose...Yes!
□ + 8.49 = 10.72
Choose...No
Step-by-step explanation:
Sorry if I'm wrong.
Which statement is false?
O A A square is a rectangle.
OB. A square is a parallelogram.
OC. A square has exactly 4 acute angles.
0
D. A square has exactly 4 congruent sides.
