Question

Dr. Gongol, a sleep specialist, predicts that the proportion of snoring events compared to other events during a sleep study is more than 35%. To test this prediction, he evaluates 200 random sleep studies and found that 140 studies showed that more than 35% events were snores. The following is the setup for this hypothesis test: H0:p=0.35 Ha:p>0.35 The p-value for this hypothesis test is 0.03. At the 5% significance level, should he reject or fail to reject the null hypothesis?

Answer 1

Reject the null hypothesis

Explanation:

The claim is H0:p=0.35 Ha:p>0.35

At a significance level of 0.05, if the p value observed is less than 0.05, then we reject the null hypothesis, but if the p value observed is greater than the null hypothesis, then we fail to reject the null hypothesis.

In this case study: the p value is 0.03 which is less than the significance level, this we will reject the null hypothesis and conclude that there is enough statistical evidence to prove that the proportion of snoring events compared to other events during a sleep study is more than 35%.