An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to incluc smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 245 patients who use the new version is selected by the researcher, and 156 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.01 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.)
An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to incluc smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 245 patients who use the new version is selected by the researcher, and 156 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.01 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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Transcribed Image Text:An antidepressant has historically been known to relieve depression for 65% of patients who use the drug. The drug's formula was changed recently to include a
smaller dose of its main, active ingredient. Due to this change, a medical researcher suspects that among all people with depression who use the new version of
the drug, the proportion, p, of people who find relief is lower than 65%. A random samnple of 245 patients who use the new version is selected by the
researcher, and 156 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.01 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,.
Ho
文
S.
H :
(b) Determine the type of test statistic to use.
D=D
(Choose one) ▼
□Sロ
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
D>O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the proportion of people who find relief from
depression using the new version of the drug is lower than 65%?
O Yes ONo
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