A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of α = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A
The sample size is n = 750, and 20 percent of all students use the vending machines.

B
The sample size is n = 750, and 25 percent of all students use the vending machines.

C
The sample size is n = 1,000, and 25 percent of all students use the vending machines.

D
The sample size is n = 500, and 50 percent of all students use the vending machines.

E
The sample size is n = 1,000, and 50 percent of all students use the vending machines.

Answers

Answer 1

Answer:

E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.

Step-by-step explanation:

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Answer 2

For the following  situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct

What are the factors that affects the hypothesis test ?

The power of the hypothesis test depends on three factors.

1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.

2. Significance level (α) : which is constant in this question.

(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.

Given that,

A random sample of n students will be selected

A large-sample test for proportions at the significance level of α = 0.05

The null hypothesis that the proportion of all students who would use the vending machines is 20%

Power of test would be highest,

For the largest sample size

Option C,  has largest sample size

difference = true value - value specified in null hypothesis

= 55 - 20

= 35

both the conditions are satisfied for being a highest power of the test

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Related Questions

PlZ HELP ASAP WILL MARK YOU BRAINLYEST!! PLz dont answer if you don't know... THX

Answers

Answer:

5.   8.49

6.   8.6

7.   B. Joe is taller than the tepee

Step-by-step explanation:

5 - formula for diagonal [tex]d= \sqrt{2} *s[/tex]   s= side length

So 1.4 times 6 = 8.49

6 - Pythagorean Theorem [tex]c= \sqrt{ a2+b2}[/tex]

So [tex]c= \sqrt{ 5 *2+7*2 }[/tex]   c = 8.6

7 -  Formula for height  [tex]h= \sqrt{ l^{2} - r^{2}[/tex]  l=slant height

So [tex]\sqrt{ 7^{2} - 4^{2}} =h\\\sqrt{ 49-16} = h\\h = 5.74\\5.74 < 6[/tex]That means Joe is taller

Answer:

The answers to your questions are :

5. Area of square = 36 , so (4 × X =36) . X=9

The formula used to find diagonal length = side × Rad2

9 × rad2 = 12.72

6 . Rad ( 25+49) = Rad(74) = 8.6

7. B is correct . He is taller than it .

Rad ( Slant height^2 - radius^2 ) = hight

hight = 5.7 .

Benjamin is 3 inches less than twice as tall as his little brother. Write an expression for Benjamin's height. How tall is Benjamin if his brother is 28 inches tall?

Answers

28*2-3=53 inches
Or 4’5”

The table represents temperatures for 9 days in February. What is the average temperature?

Answers

Answer:

35

Step-by-step explanation:

free points for me

Answer:

35- Yw Lovie <3

Step-by-step explanation:

whats the inverse of y=0.07x​

Answers

Answer: y=0

Step-by-step explanation: i think this is right

If 15 people can fit comfortably in a 5 ftby 5 squarewhat is the ratio of the people to the rectangle's area ?

Answers

Answer: 15:25

Step-by-step explanation: the number of people is 15 and the area would be 25

Please help a brotha out so I can get ungrounded! Will give Brainlyest!

Answers

Given:

HML = 180°

KMG = 180°           (since both are lines)

∠KML = 83°

To find:

Measurement of ∠KMH

Steps:

Since we know HML is a line and equals to 180°, then

∠LMK + ∠KMH = ∠HML

    83° + ∠KMH = 180°

             ∠KMH = 180° - 83°

             ∠KMH = 97°

Therefore the measurement of ∠KMH is 97°

Happy to help :)

If you need any help in any other question, feel free to ask

Also x = 20.75 (if you need steps pls ask)

Your parents car initially costs $18,000 and it depreciates at a rate of 12% a year. How much will the car be worth after 5 years.
Using this equation, when your parents give you the car when the value drops below $2,000, in what year of depreciation will you become the owner?

Answers

Answer:

Step-by-step explanation:

value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17

:::::

The value drops below $2,000 in the 17th year.

please help me I need to get a good grade on this

Answers

1 4/5 - 2/5 = r you minus the total she has already walked or ran from the total she plans on running to get “r”

Which simplified expression is the difference of (0.5n + 0.3) - (0.75n - 0.45) A: -0.25n + 0.15 B: 0.25n - 0.75 C: -0.25n + 0.75 D: 0.25n - 0.15 show work please

Answers

Answer:

(0.5n + 0.3) - (0.75n - 0.45)

0.5n + 0.3 - 0.75n + 0.45

-0.25n + 0.75

So it's C

Describe the shape of the data summarized in the histograms.​

Answers

Answers:

5) Roughly symmetrical6) Skewed to the right (aka "right skewed" or "positively skewed")

=======================================================

Explanation:

5) We don't have perfectly symmetrical data, as that would require the left half to be a perfect mirror copy of the right half. However, we have some semblance of symmetry going on. In the middle is 5 which is where the highest bar is, where the mode is located. The mean and median are likely to be around here as well. Then on either side of this highest peak are bars of shorter heights. The heights decrease as we move away from the center in either direction. We can draw an estimated or approximated bell curve (aka normal distribution curve or gaussian curve) to get a fairly good sense of how the data is roughly symmetric. The right-hand portion of this graph is shorter compared to the left side, but I don't think that's enough info to say if we have skewed data or not; so I would stick with "roughly symmetric" here.6) Unlike problem 5, we don't have symmetric data. Instead, we have data that is skewed to the right. The main cluster is grouped or centered on the left side, while we have some outliers to the right side. Draw a curve over each peak of the bars and you'll see that the right tail is pulled longer than the left tail is. We consider this a positively skewed distribution because there are outliers in the positive x direction compared to the main cluster. In contrast, a negatively skewed distribution would have outliers smaller than the main cluster. The mean is larger than the median for a right-skewed distribution. This is due to the mean being pulled on by the outlier, while the median is robust and isn't affected by outliers no matter how distant they are.

In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 71 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

71.4

Step-by-step explanation:

cos 6 = 71 / x = 71.4


8. Draw two circles with centre O and radii 3.6 cm and 4.5 cm, respectively. What are these
circles called? ​

Answers

Answer:

Concentric circles

Step-by-step explanation:

Given

Circle 1

[tex]r = 3.6cm[/tex]

Circle 2

[tex]r = 4.5cm[/tex]

Required

The name of the circles

See attachment for the circles.

From the attachment, the circle with radius 3.6cm is the circle with radius 4.5cm and they both have the same centre.

Such circles are referred to as concentric circles

One-step word problems:
1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? ​

Answers

Answer:

she needs to put in 5 more cups of sugar.

Step-by-step explanation:

in the word problem it states that shee needs 7 cups of sugar and since she already put in 2 cups, you have to subtract 2 from 7 since she already put 2 cups in, and then you get your answer which is 5 more cups.

Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.

Answers

Using sampling concepts, it is found that the due to bias, the correct option is given by:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Why is Rodell's sample biased?

The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.

He surveys only athletes, hence, the correct option is:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

The correct answer is (A):

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Step-by-step explanation:

I did the quiz and got it right. Hope this helps you!!!!!

solve for x,given the circle
below

with m

Answers

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the
solution, how much of it is acid?

Answers

Answer:

14% od 2 gallons

Step-by-step explanation:

hope this helped also is this blue sign showing up saying something out exam mode?

7 Select the correct answer. A scientist is trying to predict the reglors of the world most likely to see a decrease in natural resources from population changes. Based on the evidence in the graph, what should the scientist conclude? ​

Answers

Answer:

A

Step-by-step explanation:

(2x -3) + (4c + 20) i need help

Answers

Answer:

=2x+4c+17

Step-by-step explanation:

(2x-3)+(4c+20)

=2x-3+4c+20

=2x+4c-3+20

=2x+4c+17

I'm stuck on b, I've tried many methods but nothing seems to work (please help this is due in 3 hours)​

Answers

The scale factor is 1.2x

Answer:

6/5

Step-by-step explanation:

An easy way to do this is see how the scale factor from a to b is 5/6? all you have to do is reverse those numbers! Hope this helps

Solve by elimination:
-20x-20y=0
-8x-8y=0

Answers

Answer:

Step-by-step explanation:

-20x-20y=0 -8x-8y=0

Substitute

-8(-y)-8y=0

simplify

0=0

x=-y

Say me how to on chulla​

Answers

Me how to on chulla

Please help and how would I draw it ?
What is the area of a circular region with a 20-ft
diameter?
A)22571 in 2
B)1007 ft2
C) 4007 ft2
D) 2251 ft2

Please help and how would I draw it ?

Answers

Answer:

B) 100[tex]\pi[/tex] ft²

Step-by-step explanation:

The area of a circle is pi r-squared.  The radius is half the diameter, so it would be:

[tex]\pi[/tex](10)² = 100[tex]\pi[/tex]

What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5x)?
13
Submit

Answers

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable :)

The value of x in the equation is 2.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

2.5(6x - 4) = 10 + 4(1.5 +0.5x)

Now,

To solve for x, we need to simplify the equation and isolate x on one side. Here are the steps:

Distribute 2.5 and 4 on the left and right sides respectively:

15x−10=10+6+2x

Combine like terms on both sides:

15x−10=16+2x

Subtract 2x from both sides:

13x−10=16

Add 10 to both sides:

13x=26

Divide both sides by 13:

x=1326​

Simplify the fraction:

x=2

Therefore, by the equation the answer will be 2.

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A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.

Answers

Use the Pythagorean theorem:

7^2 + 24^2 = length^2

Simplify:

49 + 576 = length ^2

Add:

625 = length^2

Take the square root of both sides

Length = 25

The ladder is 25 feet long

They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle

Answers

Answer:

big pp is answer ok big pp is good hehe

Can someone please help me ?

Answers

Answer:

Um, I feel like I don't have enough info to solve this

Step-by-step explanation:

Question 17 of 48
int
Section: Math
Question:
If a plane can climb at 2.400 feet per minute, how many minutes are needed to climb to 60,000 feet?

Answers

Answer:

25

Step-by-step explanation:

I divided it and got the answer :)

Answer:

25 min.

Step-by-step explanation:

To find the answer, we just divide 60,000 by 2,400 and we get 25.

Write 24:14:6 in its simplest form.​

Answers

Answer:

12 : 7 : 3

Step-by-step explanation:

24 : 14 : 6

12 : 7 : 3

Always start with smaller number to simplify it. Since 2 is the smaller number and it simplifies 24, 14, and 6 I start with it.

24 ÷ 2 = 12

14 ÷ 2 = 7

6 ÷ 2 = 3

We would stop here since it would not further simplify, therefore our answer is 12 : 7 : 3.

Hope this helps, thank you :) !!

1.) The sum of x and 10.​

Answers

Answer:

10 + x

Step-by-step explanation:

Answer. x+10

Step-by-step explanation:

someone help, please this is due today, and its delta math if someone can help me

Answers

Answer:

52.48x ≤ 288.64

x≤5.5, x=5

Step-by-step explanation:

First off, we must find out how much money he has available after buying the bike, reflectors and gloves:

Total spent = (price of bike)+3(price of reflectors)+(price of gloves)

=233.09+3(16.38)+29.13

=311.36

600-311.36=288.64, so he has $288.64 left to spend on outfits.

The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:

52.48x ≤ 288.64

To solve, divide both sides by 52.48:

x≤5.5

(Since he cant buy half of a product, x's maximum value is 5)

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