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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor. what is the minimum sample size needed to estimate the population proportion with a margin of error of .05 or less at 95% confidence? hint: use a planning proportion of p*=0.50
a. 200.
b. 100.
c. 385.
d. 58.

Respuesta :

shinmin
Finding the sample size for estimating a population proportion.

The formula is:

n = (z/m)^2 p~(1−p~)

where:
Z is the z value of the confidence level where 95% is equal to 1.96

M is the margin of error where 0.05

And p~ is the estimated value of the proportion where it is 0.50

Solution:

n = (1.96/0.05)^2 (0.5) (1-0.5)

= 1.536.64 (0.5) (0.5)

= 768.32 (0.5)

= 384.16

This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.

This is the minimum sample size, therefore we should round it up to 385.

Finding the sample size for estimating a population proportion.

What is the formula for sample size?

The formula of sample size

n = (z/m)^2 p~(1−p~)

Z is the z value of the confidence level where 95% is equal to 1.96

M is the margin of error where 0.05

And p~ is the estimated value of the proportion where it is 0.50

Solution:

n = (1.96/0.05)^2 (0.5) (1-0.5)

= 1.536.64 (0.5) (0.5)

= 768.32 (0.5)

= 384.16

This is the minimum sample size, therefore we should round it up to 385.

Therefore, The correct answer is letter c.

To learn more about sample size visit:

https://brainly.com/question/24158610 #SPJ3

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