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 65%. A random sample of 200 patients who use the drug is selected, and 124 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 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

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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 65%. A random sample of 200 patients who use the drug is selected, and 124 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 H, and the alternative hypothesis H,.
H :0
H, :I
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=D
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-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 65%?
O Yes ONo
olo
Transcribed Image Text: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 65%. A random sample of 200 patients who use the drug is selected, and 124 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 H, and the alternative hypothesis H,. H :0 H, :I (b) Determine the type of test statistic to use. (Choose one) ▼ D=D OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-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 65%? O Yes ONo olo
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