A statistician consulting for a state department of transportation conducts a study to see if the proportion of drivers who are intoxicated has decreased since last year.
$H _ { 0 }$ : The proportion is the same as last year
$H _ { A }$ : The proportion is less than last year.
The $P$-value of a significance test is greater than the significance level. She can conclude:
A) the alternative hypothesis is true.
B) the null hypothesis is true.
C) there is not enough evidence to reject the null hypothesis.
D) the test was too powerful.
E) there is enough evidence to reject the null hypothesis.

Question

Quizplus · Accepted Answer

When the $P$-value is greater than the significance level, it indicates that the observed data are not sufficiently unlikely under the null hypothesis, meaning there isn't enough evidence to reject the null hypothesis.

A Statistician Consulting for a State Department of Transportation Conducts H0H _ { 0 }H0​

A Statistician Consulting for a State Department of Transportation Conducts $H _ { 0 }$