The university registrar claims that fewer than 20 percent of undergraduate students stay in residence for their four years as students. To test this claim, a random sample of 100 graduating students was selected, and 18 were found to have lived in residence for their four years.
-The p-value associated with the test statistic is _____.
A)0.1587
B)0.3085
C)0.4168
D)0.0001
E)-0.3085

Question

Quizplus · Accepted Answer

The p-value associated with the test statistic is 0.3085. This means that if the null hypothesis were true, we would expect to see a test statistic as extreme as the one observed or more extreme in approximately 30.85% of samples. This is not a statistically significant result at the usual alpha (significance) level of 0.05. Therefore, we fail to reject the null hypothesis.

The University Registrar Claims That Fewer Than 20 Percent of Undergraduate