An antidepressant has historically been known to relieve depression for 80% of patients who use the 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 80%. A random sample of 175 patients who use the new version is selected by the researcher, and 135 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 plete 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, :p = 0.80 H :p< 0.80 (b) Determine the type of test statistic to use. OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.959 (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 80%? OYes ONo Ix
An antidepressant has historically been known to relieve depression for 80% of patients who use the 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 80%. A random sample of 175 patients who use the new version is selected by the researcher, and 135 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 plete 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, :p = 0.80 H :p< 0.80 (b) Determine the type of test statistic to use. OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) -0.959 (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 80%? OYes ONo Ix
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An antidepressant has historically been known to relieve depression for 80% 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 80%. A random sample of 175 patients who use the new version is selected by the
researcher, and 135 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.)
Aa
(a) State the null hypothesis H and the alternative hypothesis H.
H, p 0.80
S.
p<0.80
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
-0.959
(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 80%?
O Yes ONo
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