The estimate of the population proportion is to be within pl

The estimate of the population proportion is to be within plus or minus 0.03, with a 99% level of confidence. The best estimate of the population proportion is 0.15. How large a sample is required?(Round up your answer to the next whole number.)

Sample size ______

Solution

The estimate of the population proportion is to be within plus or minus 0.03, with a 99% level of confidence. The best estimate of the population proportion is 0.15. How large a sample is required?(Round up your answer to the next whole number.)

Sample size ______

Sample size

P=0.15

For 99%, z=2.5758

d=0.03

Sample size = (z²*p*(1-p))/d²

= (2.5758²*0.15*0.85)/0.03²

=939.92

The sample size required= 940