Question

In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.

To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1 In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?

Answer 1

The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.

Explanation:

We test:

If the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.

Corresponding p-value of about 0.00001.

The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.