The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find relief from depression is at least 65%. A random sample of 175 patients who use this new drug is selected, and 96 of them find relief from depression. Based on these data, can we reject the manufacturer's claim at the 0.1 level of significance?
Perform a one-tailed test. Then fill in the following:
The null hypothesis (H0):
The alternative hypothesis (H1):
The type of test statistic:
The value of the test statistic is (Round to at least 3 decimal places):
The critical value at the 0.1 level of significance (Round to at least 3 decimal places):
Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least 65%?
This solution conducts a one-tailed test and conducts a hypothesis test of whether the effectiveness of a new antidepressant is 65%.