An independent consumer group states that, among all people with depression who use a new antidepressant, the proportion p of people who find relief from depression is 80%. A random sample of 190 patients who use the drug is selected, and 156 of them find relief from depression. Based on these data, can we reject the consumer group's claim at the 0.1 level of significance?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H0 and the alternative hypothesis H1.
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)