Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp

Answers

Answer 1

Answer: 16590

Step-by-step explanation:

Let p be the population proportion of high school students in the area who attend their home basketball games.

As per given,

prior p = 0.5

Margin of error E= 0.01

Criticfor z-value for 99% confidence = 2.576

Sample size will be computed as

[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]

Hence, required sample size = 16590


Related Questions

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Answer:

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Answer:

C) 86

Step-by-step explanation:

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Answer:

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The measure of an angle is 32.3°. What is the measure of its complementary angle?

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A complementary angle is 90 degrees .

Answer:

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Step-by-step explanation:

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Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?

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Step-by-step explanation:

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With two dice, you can get sums of between 2 and 12,

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Answer:

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Top and bottom

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Answer:

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Step-by-step explanation:

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Answer:

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Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

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Answer:

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Step-by-step explanation:

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The answer goes here,

a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.

b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).

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Answers

Answer:

7.14%

Step-by-step explanation:

A fair number cube has 6 sides while a normal spinner has 7 different colors. In order to find the probability of Jack getting a number less than 4 and lands on blue, we need to find the probability of each individual event and multiply them together. Since the cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6. On the wheel there are 7 colors and only one is blue, therefore, the probability is 1/7. Now we multiply these fractions together.

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Therefore, the probability of this event happening is 7.14%

The probability of this event is 7.14%.

What is the number of sides in a fair number cube?

A fair number cube has 6 sides.

While a normal spinner has 7 different colors.

In order to find the probability of Jack getting a number less than 4 and lands on blue,

we have to find the probability of each individual event and then multiply them together.

The cube has six sides and 3 options that are less than 4 then the probability of getting less than 4 is 3/6.

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Therefore, the probabilitiy is 1/7.

Now we multiply these fractions together.

[tex]\frac{3\times 1}{6\times 7} =\frac{3}{42}= 0.0714[/tex]

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Therefore, the probability of this event is 7.14%.

To learn more about the probability visit:

https://brainly.com/question/24756209

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Answers

Reflect over x-axis rule: (x,y) -> (x,-y)

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Answers

Answer:

b(a+c) this is answer okay

Answer:

Step-by-step explanation:

ab+bc

b(a+b)

u can add two term only if they have same base.

The dimensions of a rectanglar sheet of metal are 9.96m by 5.08m
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Answers

Answer :

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As we know that,

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→ Perimeter of sheet = 2(9.96 + 5.08) m

→ Perimeter of sheet = 2(15.04) m

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Answers

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Hope this helps!! :D

Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
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Draw a picture
Solve the problem. Show your work!

Answers

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

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