etermine the most conservative sample size for the estimation of the population proportion for the following.
E=0.025, confidence level =95%
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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