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: 0.005; confidence level: 96%; p and q unknown

Homework Answers

Answer #1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E =0.005

At 96% confidence level the z is ,

= 1 - 96% = 1 - 0.96 = 0.04

/ 2 = 0.04 / 2 = 0.02

Z/2 =2.054 ( Using z table )

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

= (2.054/ 0.005)2 * 0.5 * 0.5

= 42189.16

Sample size = 42189

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