Question

etermine the most conservative sample size for the estimation of the population proportion for the following....

etermine the most conservative sample size for the estimation of the population proportion for the following.

E=0.025, confidence level =95%

Homework Answers

Answer #1

Solution:

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E = 0.025

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.960

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

= (1.960 / 0.025)2 * 0.5 * 0.5

= 1536.64 = 1537

n = sample size = 1537

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