Paul will select a random sample of students to create a 95 percent confidence interval to estimate the proportion of students at his college who have a tattoo. Of the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points?

Answers

Answer 1

Answer:

385

Step-by-step explanation:

Given that:

Margin of Error (MOE) = 5% = 0.05

Zcritical, 95% = Z(1-α/2) = Z0.025 = 1.96

MOE = Zcritical * (√p(1-p))/n)

p is taken as 0.5 when not stated ;

5 = 1.96 * sqrt[(0.5 * 0.5) / n]

5 = 1.96 * sqrt(0.25/n)

Square both sides

(0.05/ 1.96)² = 0.25/n

0.0006507 = 0.25/n

0.0006507 * n = 0.25

n = 0.25 / 0.0006507

n = 384.20162

Sample size = 385


Related Questions

the graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the rate of change of the voltage over the interval?

1.5 volts
3 5 volts
5.5 volts
7.5 volts​

Answers

Answer:

3.5?

Step-by-step explanation:

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

What is the average rate change of a function?

It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,

Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°.

We know that v = 1750 at t = 600° and v = 0 at t = 100°. Then the Average rate of change is given as,

Average rate = (1750 - 0) / (600 - 100)

Average rate = 1750 / 500

Average rate = 3.5

The best estimate for the rate of change of the voltage over the interval will be 3.5 volts. Then the correct option is B.

More about the average rate change of a function link is given below.

https://brainly.com/question/23715190

#SPJ2

Can someone help me please

Answers

Answer:

5

Step-by-step explanation:

Which number is a perfect square?
O A. 32
O B. 144
O C. 1,000
<
O D. 36,000
Please help

Answers

Answer:

The answer is 144

Step-by-step explanation:

Because the square root of 12 is 144 making a whole number.

Matthew bought a video game for 25 dollars the following week his friend found the game on sale and bought it for 17 dollars what is the percent of decrease in price of the game

Answers

Answer:

14% decrease

Step-by-step explanation:

they making me write more since I'm ambitious

3(9+c+b) if c=13 and b=4

Answers

Answer:

78

Step-by-step explanation:

Hope this helped. Pls mark brainliest

Answer:

78

Step-by-step explanation:

3(9+13+4)

9+13+4 = 26

3(26) = 78

(1, 1), (–1,5)
find slope

Answers

Answer:

slope = 0

MARK ME AS A BRAINLIST AND FOLLOW ME

Please help me i will give a Brainly and 100 points

Answers

Answer:

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form  or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

Answer:

Have a nice day! Answer is above good luck:)

Any help please need done asap?

Answers

Answer:

4

Step-by-step explanation:

12 is over 10 and 8

If you invested $250 at 16% interest, how much would you have after 18 years?

Answers

Answer:

4,000

Step-by-step explanation:

4.)Given m = 1/2 and the point (3, 2), which of the following is the point-slope form of the equation?


y - 2 = 1/2(x - 3)


y + 3 = 1/2(x + 2)


y - 3 = 1/2(x - 2)


y + 2 = 1/2(x + 3)

Answers

Answer:

y - 2 = 1/2(x - 3)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

What’s the anwser for this. I’m so confused

Answers

Answer:

Its A

Step-by-step explanation:

Please help don’t understand

Answers

Answer:

[tex]3b+9n-8[/tex]

Step-by-step explanation:

Combine like terms:

[tex]7b+8n-4b-8+n=3b+8n-8+n[/tex]

Combine like terms:

[tex]3b+8n-8+n=3b+9n-8[/tex]

Enter the missing base

1,024= ?⁵

Answers

1,024 is 4^5 hope this helps :)

Hello can you tell me what the answer of this How many subets dose the set a have a= ( a,b,c,d)

Answers

Answer:

16 subsets

Step-by-step explanation:

To know the number of subsets that the set have, we will have to find the power of the set.

Given the set a = ( a,b,c,d)

P(a) = 2^n where;

n is the total number of element in the set

n = 4

p(a) = 2^4

P(a) = 16

Hence the set has 16 subsets

Can someone please tell me the answer ..

Answers

Answer:

148

Step-by-step explanation:

An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.

Answers

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increase

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

[tex](10000 - 400x) * (7+x)[/tex]

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

[tex](10000 - 400x) * (7+x)[/tex]

We operate the values:

[tex]70000+10000x-2800x-400x^{2}[/tex]

Solve we can:

[tex]70000+7200x-400x^{2}[/tex]

And organize:

[tex]-400x^{2} +7200x+70000[/tex]

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

[tex]R=-400x^{2} +7200x+70000[/tex]

What is the slope of a line with the cords (-3,2) (-1,-1)

Answers

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

OR

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

what is the value of the y coordinate of point A​

Answers

Answer:

E  on Edge

Step-by-step explanation:

Help pls confused with question

Answers

Answer:

Number 2: I believe an 85

Number 4: The answer is 20 days.

Step-by-step explanation:

You can buy a box of 150 sharpies for $165 or a dozen for $13.50? Which of the two prices is a better deal and explain why

Answers

Answer:

do the a dozen for $13.50

Step-by-step explanation:

It will help save money

Answer:

The dozen for $13.50 is a way better deal

n a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment?
a. Yes, the probability of success is one out of 12 with 8 selected.
b. No, the probability of getting the broken tape measure changes as there is no replacement.
c. Yes, you are finding the probability of exactly 5 not being broken.
d. No, binomial does not include systematic selection such as "eighth".

Answers

Answer:

b. No, the probability of getting the broken tape measure changes as there is no replacement.

Step-by-step explanation:

For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.

However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer

3/4 into a percent and a decimal

Answers

Answer:

75% and .75

Step-by-step explanation:

Hannah has 10 puzzle magazines what percentage of Hannas magazines are word search magazines?

Answers

Step-by-step explanation:

Can you tell us how many word search magazines there are? Thank you,

Please answer and explain for 15 points

Answers

Answer:

55% or 27.2 ounces

Pls help with this math problem

Answers

Answer:

y=1/4x+6

Step-by-step explanation:

The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.

Five units to the right of -6

Answers

Answer: -1

Step-by-step explanation:

what percent of 157 is 119.3​

Answers

Answer:

75.8 is your answer

Step-by-step explanation:

119:157*100 =

(119*100):157 =

11900:157 = 75.8

Answer:

187.301 is 157% of 119.3

Step-by-step explanation:

2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)

Answers

Answer:

=2/3

Step-by-step explanation:

In a study of pain relievers, 100 people were given product A, and 71 experienced relief. In the same study, 50 people were given product B, and 31
experienced relief.
Fill in the blanks of the statement below to make the statement the most reasonable possible.
Product? performed worse in the study because only % got relief with this product, whereas % got relief with Product?

Answers

Answer:

Product B performed worse

Step-by-step explanation:

71% experienced relief with Product A

31/50, which is 62%, got relief with Product B

The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.

Answers

Answer:

Percentage = 13%

Step-by-step explanation:

Given the following data;

Total population = 173,000

Number of students = 23,000

To find the percentage;

[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]

[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]

[tex] Percentage = \frac {23}{173} * 100 [/tex]

[tex] Percentage = 0.1330 * 100 [/tex]

Percentage = 13.3 ≈ 13%

Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.

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