A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1,240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased, what is the correct statement of null and alternative hypotheses

Answers

Answer 1

Answer:

The correct statement is  

The  null hypothesis is  [tex]H_o : p = 0.18[/tex]

The alternative hypothesis is  [tex]H_a : p > 0.18[/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  p  =  0.18  

    The  sample size is  n  =  1240 airplane

     The  number of airplane is  k  =  310

 

Generally the sample proportion is  

      [tex]\^ p = \frac{k}{n}[/tex]

=>   [tex]\^ p = \frac{310}{1240}[/tex]

=>   [tex]\^ p =0.25[/tex]

The  null hypothesis is  [tex]H_o : p = 0.18[/tex]

The alternative hypothesis is  [tex]H_a : p > 0.18[/tex]


Related Questions

Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.

Answers

Complete question is;

Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.

A) How many ways can this be done, if the order of the choices is taken into consideration?

B) How many ways can this be done, if the order of the choices is not taken into consideration?

Answer:

A) 524160 ways

B) 4368 ways

Step-by-step explanation:

A) If the order of choices is taken into consideration, then it is a Permutation problem.

Formula for Permutation is;

P(n, r) = n!/(n - r)!

In the question, n = 16 and r = 5

Thus;

P(16, 5) = 16!/(16 - 5)!

P(16, 5) = 524160

B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.

Formula for Combination is;

C(n, r) = n!/((r! × (n - r)!)

C(16, 5) = 16!/((5! × (16 - 5)!)

C(16, 5) = 4368

The square root of 1000 is between

A.498 and 502

B.98 and 102

C.48 and 52

D.28 and 32

Answers

Answer:

D

the square root of 1000 is 31.6227766017

Step-by-step explanation:

BRANIEST

Challenge An arts academy requires there to be 3 teachers for every 51 students and 5 tutors for
every 55 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 88 students?
The academy has students per teacher.

Answers

How many students per teacher is 17
How many students per tutor is 11
8 tutors for 88 students

PLEASE HELP ASAP!)Carter graphs the equivalent ratios shown in the table. If one of the ordered pairs Carter graphs is (4,2), which other ordered pairs does he graph? Check all that apply.

Answers

Answer:

(8,4)

(16,8)

Step-by-step explanation:

The table is given which shows the number of yellow tiles and red tiles.

The first row in the table shows that if there are 4 red tiles then there will be 2 yellow tiles. This relation can be defined as the number of red tile will always be double the amount of number of yellows tiles. Carter graphs this point as (4,2) where number of red tiles are plotted on x axis and number of yellow tile are plotted on y axis.

Consider the second row of the table. Number of red tiles is 8 while number of yellow tiles is 4, so the point he plots on the graph is (8,4)

Similarly, other points are (12,6) and (16,8)

Please help with this problem thank you.
-8 + n = 62 What is n?

Answers

Answer:

n = 70

Step-by-step explanation:

-8 + n = 62

      n = 70

PLEASE HELP!!!!!! PLEASE​

Answers

the answer would be at the point where both lines intersect. in this case the answer is ( -1, 7 )

Create 3 equivalent ratios for 5:7

Answers

Answer:

10:14

15:21

20:28

Step-by-step explanation:

ax+by=c
solve for equation for y

Answers

Answer:

[tex]y=\frac{c}{b}-\frac{ax}{b}[/tex]

Step-by-step explanation:

[tex]ax+by=c\\ax+by-ax=c-ax\\by=c-ax\\by/b=(c-ax)/b\\y=\frac{c-ax}{b} \\y=\frac{c}{b}-\frac{ax}{b}[/tex]

(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …

Answers

Answer:

A

Step-by-step explanation:

is there a need for explanation

6 ≤ -3x + 12
can somone solve this for me *correctly* ill give u brainlest only if ur right

Answers

Answer:

x ≤ 2

Step-by-step explanation:

-3x+12≥6

-3x≥6

3x≤6

x ≤ 2

Answer:

x ≤ 2 is the correct answer!

Step-by-step explanation:

Hope this helps!

List coordinates for A' if A(2,3) is rotated 180°.

a
(2, -3)
b
(-2, -3)
c
(-3, -2)
d
(-3, 2)

Answers

I think It’s B (-2,-3)

If 10x - 2 represents the time Anna and Tamara leave tonight and 4x - 9 represents
the time Anna and Tamara would leave in the morning, write an algebraic
expression that represents the difference in the time between leaving at night and
leaving in the morning.
Time
✓ Check

Answers

Answer:

6x + 7

Step-by-step explanation:

Given parameters:

   Time Anna and Tamara leaves tonight  = 10x - 2

   Time Anna and Tamara leaves in the morning  = 4x - 9

Unknown:

An algebraic expression that represents the difference in time between leaving at night and leaving in the morning = ?

Solution:

The algebraic expression is given as:

    = (10x - 2) - (4x - 9)

    = 10x -2 -4x + 9

    = 10x -4x -2 + 9

    = 6x + 7

The algebraic expression for the time difference is 6x + 7

Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?

Answers

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

Given (-1, -8) & m=2
write the corresponding equation in SLOPE-INTERCEPT FORM (No caps, no spaces)​

Answers

Answer:

y=2x+15

Step-by-step explanation:

just count from (-1,8) to get y intercept

4 x 234567890123456789

Answers

Answer:

Step-by-step explanation:

9.3827156E17 the awnser

Answer:

pop smoke ting go skrdraaaa pop. po pop pop popskibbydo pop pah

7(3-x) ≤ 5x-15 solve for x

Answers

Answer:

x≥3

Step-by-step explanation:

Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought five notebooks and five thumb drives for $110. Lisa bought three notebooks and five thumb drives for $102. Find the cost of each notebook and each thumb drive.

Answers

Answer:

Notebooks cost $4

Thumb drives cost $18

Step-by-step explanation:

x=$ for notebooks

y=$ for thumb drives

5x + 5y = 110 ----> for Troy

3x + 5y = 102 ----> for Lisa

Use subtraction to find x.

(5x + 5y = 110)

-(3x + 5y = 102)

_____________

2x + 0y = 8

2x = 8

x=4

Sub 4 for x into 5x + 5y = 110

20 + 5y = 110

-20 -20

___________

5y = 90

y=18

Notebooks cost $4

Thumb drives cost $18

The terminal side of angle θ intersects the unit circle in the first quadrant at (925,y). What are the exact values of sinθ and cosθ?

Answers

Correct question is;

The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?

Answer:

sinθ = (√544)/25) and cosθ = 9/25

Step-by-step explanation:

We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;

(9/25)² + y² = 1²

y² = 1 - (9/25)²

y² = (625 - 81)/25²

y² = 544/25²

y = ±(√544)/25

We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.

Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]

In unit circle geometry, cosθ = x, while sinθ = y.

Thus; sinθ = (√544)/25) and cosθ = 9/25

The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is  [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.

Given :

The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).

From general representation of equation of circle , we can write

[tex]x^{2} + y^{2} = a^{2}\\[/tex]

[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]

[tex]y^{2} = 1 - \frac{81}{625}[/tex]

[tex]y^{2} = \frac{625-81}{625}[/tex]

[tex]y^{2}=\frac{544}{625}[/tex]

Taking square root both sides

[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]

[tex]y = \frac{\sqrt{544} }{25}[/tex]

We are taking only because point  lies in first quadrant.

The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]

In unit circle

[tex]x = cos\theta , y = sin\theta[/tex]

[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].

For more information click on the link gives below

https://brainly.com/question/23841023

Which statement describes how to determine if a relation given in a table is a function? OIf none of the output values are repeated, the relation is a function. Olf none of the input values are repeated, the relation is a function. If any of the input values are equal to the output values, the relation is a function. f all the output values are paired with the same input value. the relation is a function.​

Answers

Answer: if none of the input values are repeated the real action is a function

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If none of the input values are repeated, the relation is a function.

i dont know how to explain but edge 2020/2021

7. The population of Canada is about 37.59 million. How is this number written in scientific
notation?
(Please hurry)

Answers

Answer:

3.759*10^7

Step-by-step explanation:

Of the 52 cards in the deck, four are aces and others (kings, queens, jacks, and tens) are worth 10 points each. The dealer has a blackjack if one card is an ace and the other is worth 10 points; it doesn't matter which card is face up and which card is face down. How many different blackjack hands are there?

Answers

Answer:

64 different black jack hands

Step-by-step explanation:

there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.

Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:

possibility of getting 1 ace = 4/52 = 1/13

possibility of getting 1 ten = 16/51

possibility of getting a blackjack = 16 / 663

if you start with the 10 first the odds are the same:

possibility of getting 1 ten = 16/52 = 4/13

possibility of getting 1 ace = 4/51

possibility of getting a blackjack = 16 / 663

what is 936,292 rounded to the nearest thousand

Answers

Answer:

936,000

Step-by-step explanation:

936,292 rounded to the nearest 1,000 is 936,000 as 292 is less than 500, you have to round down, to get 936,000.

Each of the letters of the word MISSISSIPPI are written on separate pieces of paper that are then folded, put in a hat, and mixed thoroughly. One piece of paper is chosen (without looking) from the hat. What is the probability it is an I? *
2/5
1/3
4/11
1/4

Answers

Answer:1/4

Step-by-step explanation:

wha is 3 3/5 *(-8 1/3)=

Answers

Answer: -24/5

3 3/5*(-8 1/3)=-24/5

is y=0.18.x proportional

Answers

Answer:

-50/9 is the answer i think

9(k+12)+4k2 when k= 3 the 2 is small

Answers

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

[tex]9(k+12) + 4k^{2}[/tex]

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Question 3: Determine the missing base in the equation problem below. 75eight = 23 base​

Answers

Answer:

29

Step-by-step explanation:

Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:

[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]

Hence the missing base is 29

i need help asap please​

Answers

Answer: The answer is 0.00065

Step-by-step explanation: Cuz I am good at math.

Miss Johnson walks at a rate of 2 miles
per hour.
x = hour
y = miles walked

what is the constant of proportionality and equation?​

Answers

the constant is X and the Proportionality is Y

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Which of the values from the set (-7, -6, -2, 0, 1, 3) satisfy the inequality-5x + 5< 25

Answers

Answer: -2, 0, 1, 3

Step-by-step explanation:

when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.

when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.

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