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.

Question

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.

Quizplus · Accepted Answer

When the P-value is greater than the significance level, it indicates that there is not enough evidence to reject the null hypothesis. This does not prove the null hypothesis is true, but rather that the data does not provide strong enough evidence to support the alternative hypothesis.

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

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