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 current
Students live off campus and drive to class. Find the large-sample rejection region for the test of
Interest to the college when using a level of significance of 0.01.

Question

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 current
Students live off campus and drive to class. Find the large-sample rejection region for the test of
Interest to the college when using a level of significance of 0.01. 
A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.28$.
B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 2.33$.
C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 1.96$.
D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { z } < - 2.33$ or $\mathrm { z } > 2.33$.

Quizplus · Accepted Answer

For a one-tailed test with a significance level of 0.01, the critical z-value is -2.33. This means we reject the null hypothesis if the test statistic is less than -2.33, indicating that the percentage of students who live off campus and drive to class is significantly less than 20%.

A Small Private College Is Interested in Determining the Percentage H0\mathrm { H } _ { 0 }H0​

A Small Private College Is Interested in Determining the Percentage $\mathrm { H } _ { 0 }$