In a simple random sample of 29 law students, 13 are women. You wish to determine if less than half of law students are women.
Determine the type of parameter to be tested and compute the test statistic.
A) z-test for the mean; test statistic -0.01
B) t-test for the mean; test statistic -0.01
C) Test for a standard deviation; test statistic 25.10
D) Test for a proportion; test statistic -0.56

Question

Quizplus · Accepted Answer

Since we are interested in determining whether less than half of law students are women, we are testing a proportion. Therefore, the best choice is a test for a proportion, which is answer choice D. The test statistic for a test of proportion is calculated by: (sample proportion - hypothesized proportion) / standard error of the proportion. The test statistic in this case is -0.56.

In a Simple Random Sample of 29 Law Students, 13