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 sample of 245 patients who use the new version is selected by the researcher, and 139 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.10 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 Ho and the alternative hypothesis H₁. Ho H₁0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical 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 O No μ Ix a S 0=0 OSO 0*0 O

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

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 sample of 245 patients who use the new version is selected by the
researcher, and 139 of them find relief from depression. Based on these data, can we support the researcher's claim at the 0.10 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 Ho and the alternative hypothesis H₁.
Ho :O
H₁ :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the critical value. (Round to three or more decimal places.)
0
(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 O No
μ
Ix
☐#0
X
a
S
OSO
Р
<Q
olo
OZO
O<O O>O

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I submitted the below answers that were provided the first time I asked this question and the system said my answer was incorrect and to try again. I don't know which answer was wrong. The original question is also attached.

(a) The null hypothesis is �0:�≥0.65 and the alternative hypothesis is �1:�<0.65.

(b) The z type of test statistic is to be u. sed.

(d) The critical value is -1.28155.

(e) Yes, there is sufficient evidence to support the claim that the proportion of people who find relief from depression using the new version of the drug is lower than 65%.