Question

(S 9.1) Determine the minimum sample size required in order to estimate p, the population proportion, to within 0.03, with:

a) 95% confidence.

b) 99% confidence.

  

Answer 1

We have p is unknown therefore, consider p=0.5, q=0.5

We can use here,

a) 95% confidence.

Z critical value for 95% confidence level is 1.96

=1067.11

  

Therefore,the minimum sample size required in order to estimate p, the population proportion, to within 0.03, with 95% confidence will be 1068

b) 99% confidence.

= 1849

Therefore,the minimum sample size required in order to estimate p, the population proportion, to within 0.03, with 99% confidence will be 1849