A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 10% margin of error at a 90% confidence level, what size of sample is needed? Be sure to round accordingly. The candidate would need to survey people in the community in order to be within a 10% margin of error at a 90% confidence level.

Answers

Answer 1

Answer:

The size of the sample needed = 67.65

Explanation:

Given that :

The margin of error = 10% = 0.10

The confidence level = 90% = 0.90

Level of significance = 1 - 0.90 = 0.10

At ∝ = 0.10

[tex]Z_{\alpha/2}= Z_{0.10/2} = 1.645[/tex]

Since the proportion of people that supported him/her is not given, we assumed p = 0.50

The margin of error formula can be expressed as:

[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.10 = 1.645 \times \sqrt{{\dfrac{0.5(1-0.5)}{n}[/tex]

Squaring both sides; we have:

[tex]0.10^2 = 1.645^2 \times {\dfrac{0.5(1-0.5)}{n}[/tex]

[tex]0.01 = 2.706025 \times \dfrac{0.25}{n}[/tex]

[tex]n= 2.706025 \times \dfrac{0.25}{0.01 }[/tex]

n = 67.65

Therefore, the required sample size = 67.65


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Explanation:

y = 4x
y = 5x + 5
How many solutions does the given system of equations have?

Answers

Hello! The answer is one solution of x = -5. You have to put the equations equal to each other and solve for x. I hope this helps!

4x = 5x + 5
- Subtract 5x from both sides.

4x - 5x = 5
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A certain student has taken 74 credit hours so far in college. The equation 14x + 16y= 74
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Answers

Answer:

2 credit hours

Explanation:

Given

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Required

Determine the number of credit hours y greater than x

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Answer:

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Explanation:

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Bunker Hill
Trenton
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Answers

Answer:

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Answers

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Answer:

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Explanation:

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Answers

Answer:

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Explanation:

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Answers

Answer:

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Answer:

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Explanation:

Answer:

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Answer:

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Answer:

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Answers

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Answer:

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Explanation:

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Answers

Answer:

A

Explanation:

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Answer:

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