Question

For each example below you would start to construct a confidence interval by identifying which distribution should be used to find the margin of error. It is possible that you won't be able to use either distribution.

(a) a confidence interval for a population proportion where n = 61 and there are 37 successes in your sample leading to a sample proportion of 0.607

z-distribution

t-distribution    

neither distribution

(b) a confidence interval for a population proportion where n = 38 and there are 2 successes in your sample leading to a sample proportion of 0.053

z-distribution

t-distribution    

neither distribution

Answer 1