The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find reliet depression is at least 65%. A random sample of 195 patients who use this new drug is selected, and 108 of them find relief from depression. Based data, can we reject the manufacturer's claim at the 0.05 level of significance? Perform a one-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 e formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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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 fro
depression is at least 65%. A random sample of 195 patients who use this new drug is selected, and 108 of them find relief from depression. Based on t
data, can we reject the manufacturer's claim at the 0.05 level of significance?
Perform a one-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 H and the alternative hypothesis H,.
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we reject the claim that the proportion of people who find relief from
depression using the new antidepressant is at least 65%?
Transcribed Image Text: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 fro depression is at least 65%. A random sample of 195 patients who use this new drug is selected, and 108 of them find relief from depression. Based on t data, can we reject the manufacturer's claim at the 0.05 level of significance? Perform a one-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 H and the alternative hypothesis H,. H, :0 H :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least 65%?
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