Question

which sample size will produce the widest 95% confidence interval given a sample proportion of 0.5

Answer 1

@mollymurphy11 is there a graph or something?

Answer 2

notice how the sample size n is in the denominator, meaning that a larger n-value will lead to a narrower interval (confirm this yourself by taking the limit of zs/(sqrt(n)) as n --> infinity.

therefore, the widest interval is simply the smallest sample size from your list of choices