A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used conduct a test of hypothesis. The goal was to determine if the average travel time of all the university's students differed from 20 minutes. Suppose the large-sample test statistic was calculated to be z = 2.14. Find the p-value for this test of hypothesis.
A) p = 0.4838
B) p = 0.9838
C) p = 0.0162
D) p = 0.0324

Question

Quizplus · Accepted Answer

The test statistic z = 2.14 corresponds to a two-tailed test. The p-value is found by looking up the z-score in a standard normal distribution table, which gives a p-value of 0.0162 for one tail. Since it's a two-tailed test, the p-value is 2 * 0.0162 = 0.0324.

A Large University Is Interested in Learning About the Average