A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than $20 \%$ of their curren students live off campus and drive to class. Suppose a sample of 108 students produced a test statistic of $z = - 1.35$. Find the $p$-value for the test of interest to the college.
A) $p = 0.9115$
B) $p = 0.0885$
C) $p = 0.1770$
D) $p = 0.4115$

Question

Quizplus · Accepted Answer

The test is a left-tailed test, and the $p$-value corresponds to the probability of observing a $z$-value less than $-1.35$. Using the standard normal distribution table, the $p$-value is approximately 0.0885.

A Small Private College Is Interested in Determining the Percentage 20%20 \%20%

A Small Private College Is Interested in Determining the Percentage $20 \%$