Question

Use the given data to find the minimum sample size required to estimate the population proportion....

Use the given data to find the minimum sample size required to estimate the population proportion.

Margin of error: 0.04; confidence level: 95%; from a prior study,  is estimated by the decimal equivalent of 52%.

Homework Answers

Answer #1

Solution :

Given that,

= 0.52

1 - = 0.48

margin of error = E = 0.04

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.96 / 0.04)2 * 0.52 * 0.48

= 599.29

sample size = 600

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