Finding Sample size

Question

 Find the sample size used if a 95% confidence interval reports a ‘margin of error’ of 2.5% if you think those reporting the result used an estimate for p from their survey results of .46

Answer 1

sample size (n) = phat * (1-phat) * (z-critical/margin of error)^2

phat = 0.46

z-critical for 95% confidence it z-score at 97.5 percentile = 1.96

margin of error = 0.025 (percent converted to probability between 0 and 1)