A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22

Answers

Answer 1

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Answer 2

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].  For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25868626


Related Questions

Which sign makes this number sentence true?

|-6| __ |6|
A. >
B. <
C. =
D.

Answers

Answer:

C. =

Step-by-step explanation:

whenever you have |  | It will always be positive so -6 turns to 6 and that makes it equal.

What’s the answer and work for this? Someone please tell me

Answers

Answer:

Step-by-step explanation:

# 12

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23

12 is a median of a data

Helppp meeeee plssss I would me the world

Answers

Answer:

its 3 trust me

Step-by-step explanation:

Answer:I’m thinking it’s the first one but someone else might know for sure sorry

Step-by-step explanation:


Using a graphical method, solve the quadratic equation:
-X2 - 2x + 3 = 0​

Answers

2-2x+3=0

5-2x=0

-5      -5

-2x=-5

/-2   /-2

x=2.5

---

hope it helps

sorry if I'm wrong

the X confused me

One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.

Answers

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

Use inverse trigonometric functions to solve each problem.
A flag pole 30 feet tall casts a shadow of 50 feet on the ground. Find,
to the nearest tenth of a degree, the angle of elevation of the sun.
a.30°
b.31°
c.60°
d.61°

Answers

Answer:

BBBBBBBBBB

Step-by-step explanation:

The inverse of x→y is:​

Answers

Answer:

This is invertible

Step-by-step explanation:

pls give brainliest!

have a great day!

If x = 2, then which of the following equations makes a TRUE statement?
a.4x + 9 = 20
b.-4x + 5 = -3
c.-3x + 15 = 21
d.5x – 15 = 5

Answers

B becasue -4x2=-8 then you do -8+5=8-5=3 then you look at the bigger number which is -8 so then the answer takes the bigger numbers integer weather is a positive or negative so your answer would be -3

Answer:

Answer is B

Step-by-step explanation: −4x + 5= −3

1. Subtract 5 from both sides −4x +5 −5 = −3 −5

2. You remain with this  −4x = −8

3. Divide both side by -4. -4x/-4 = -8/-4

4. Answer will be x = 2

If ∆SDE ~ ∆SWT, find WT.

Answers

It’s is 3/78 as the answer to this problem/question you have

which expression can be used to find the surface area of the following triangular prism. choose 1 answer.​

Answers

A the answer is A...

Answer:

A is in fact correct.

Step-by-step explanation:

From the equation y = 4 - X, which ordered pair would represent a solution?
A (3,-1)
B (9,5)
C (6,-2)
D (0,-4)

Answers

I think it’s D hope that helped
Let’s rewrite the equation in y=mx+b
y=-x+4
The slope is -x or -1x. Rise 1, run 1
The y intercept is 4
Start from 4 on the y axis and move down 1 and right 1.
The line will cross point (6,-2)
Answer C

4
Brad goes to bed at 21 25.
He is in bed until 0708 the next day.
Work out the length of time that Brad is in bed.​

Answers

Answer:

 

Step-by-step explanation:

PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW IS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

After how many days will the tank need to be refilled?

Step-by-step explanation:

To answer our question, we first need to figure out what d represents. d is multiplied by 0.035, which is how much the water level decreases daily. Since it decreases daily, the overall amount it decreases depends on how many days have passed. It is logical then to deduce that d represents days (also days starts with d, so we know we're on the right track haha).

The equation equals to 4, the water level at which the tank must be refilled, so we know we are looking for d when the tank must be refilled.

As in Example 1, suppose a die is rolled. Find each probability.

Answers

It will be 16.67% each because the probability of any number being at the top (after it is rolled) is 1/6 and 1/6 as a percentage is 100/6 = 16.6666%

r − 38 = 9
please solve the equation

Answers

Answer:

r = 47

Step-by-step explanation:

r - 38 = 9

r- 38 + 38 = 9 + 38

simplify

r = 47

Answer:

[tex]r=47[/tex]

Step-by-step explanation:

[tex]r-38=9[/tex]

Add 38 to both sides of the equation:

[tex]r-38+38=9+38\\r=47[/tex]

r = 47 is your final answer.

What is the quotient?

Answers

Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

Solve the equation for s.P-5=3s+8solve for

Answers

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:

Find the perimeter of the figure to the nearest hundredth.

Answers

Answer:

perimeter of trapezium =sum of all sides

perimeter of trapezium =10cm+6cm+12cm+8cm

perimeter of trapezium =36cm

perimeter of semicircle =pi×r

perimeter of semicircle =3.14×6cm

perimeter of semicircle =18.84cm

perimeter of the figure =36cm+18.84cm=54.84cm

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

a change in shape or object by turning it

40x +16y = ( + )
plz help me

Answers

Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

After painting 3/8 of a fence he finds that he has painted 15 feet

Answers

Answer:

whats the question? theres no context other than that little bit

Answer:

The fence is 40 feet long.

Step-by-step explanation:

I suppose the question is "What is the length of the entire fence?"

Formula

3/8 x = 15                     Multiply both sides by 8

8*(3/8)x = 15*8             Cancel

3x = 120                       Divide by 3

3x/3 = 120/3

x = 40

Problem of the week, provide step-by-step please!

Answers

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

Pls help I’ll pay u 30$ if it’s right

Answers

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?

Answers

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

Please help and explain

Answers

Answer:

(a)

[tex](2,0)[/tex]

(b)

[tex](0,-2)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1)= (4,2)[/tex] --- point

[tex]m =1[/tex] -- slope

Solving (a): The zeros of the function

First, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1 * (x - 4) + 2[/tex]

Open bracket

[tex]y = x - 4+ 2[/tex]

[tex]y = x -2[/tex]

The zeros also is: [tex]y=0[/tex]

[tex]0 = x - 2[/tex]

[tex]x =0+2[/tex]

[tex]x =2[/tex]

So, the solution to be is

[tex](2,0)[/tex]

(b) The y intercept is:

Substitute [tex]x=0[/tex]

[tex]y = 0 -2 = -2[/tex]

We have:

[tex](0,-2)[/tex]

Can somebody explain how I'm supposed to do this??

Answers

Answer:

C

Step-by-step explanation:

You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others

Answer:

its c

Step-by-step explanation:

:)

Help me with this question please!

Answers

Answer:

84 in²

Step-by-step explanation:

12+9=21

21x0.5=10.5

10.5x8=84

1/6 students are wearing blue shirts, and 2/3 are wearing white shirts. There are 36 students. How many students are wearing shirts that arent blue or white?​

Answers

Answer:

6 students are wearing shirts that aren't blue or white

Step-by-step explanation:

1/6 + 2/3 = 5/6  

5/6 are wearing either blue or white so 1/6 isn't wearing blue or white

there are 36 student and 1/6 means 36 divided by 6

36 divided by 6 = 6

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)

Answers

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

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].

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

68% confidence level

So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

What is the p-value?

The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.

In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.

[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]

where z has a p-value of 1-[tex]\alpha /2[/tex]

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

n = 100, [tex]\pi[/tex] = 20/100 = 0.2

So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]

z = 0.995

The lower limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]

The upper limit of this interval

[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]

Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Learn more about p-value ;

https://brainly.com/question/15407907

help me please I will be thankful

Answers

Answer:

x=56º

Step-by-step explanation:

The cube tells us that 34º and x must equal 90º

So we use what we know to find the missing piece

90º=34º+x

-34º -34º

56º=x

Answer:56

Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees

180-124=x

56=x

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