In this series of problems we will investigate how the sample size impacts the test statistic. Let’s return to the context of example 3. The population is U.S. adults and we are investigating whether the proportion supporting the death penalty is still 0.64 (as it was in 2003).

Here is the sampling distribution for the proportion of supporters in random samples of 25 adults. The standard deviation is approximately 0.10.

A normal curve which is centered at about 0.64 .

Hint 1 Hint 2 Hint 3

What is the approximate test statistic for p-hat = 0.74?