A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when estimating the population parameter?

Question

150
100
75
50

Answer 1

The sample size that will produce the widest 95% confidence interval when estimating the population parameter is 50.

The wider the confidence interval, the less precise the estimate. A smaller sample size will result in a wider confidence interval because there is more uncertainty in the estimate due to the smaller amount of data.