The estimate of the population proportion is to be within plus or minus 0.02, wi

Question

The estimate of the population proportion is to be within plus or minus 0.02, with a 90% level of confidence. The best estimate of the population proportion is 0.16. How large a sample is required? (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round up your answer to the next whole number.)

The estimate of the population proportion is to be within plus or minus 0.02, with a 90% level of confidence. The best estimate of the population proportion is 0.16. How large a sample is required? (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round up your answer to the next whole number.)

Explanation / Answer

Margin of error = 0.02
z-value for 90% CI = 1.64
p = 0.16

ME = z*sqrt(p*(1-p)/n)
0.02 = 1.64*sqrt(0.16*(1-0.16)/n)
n = (1.64/0.02)^2*0.16*(1-0.16)
n = 903.7056
sample size = 904

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