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 includesmaller 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 ofthe drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by theresearcher, and 149 of them find relief from depression. Based on these data, can we support the researcher'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 offormulas.)(a) State the null hypothesis H and the alternative hypothesis H,.Ho :0H¡ :0(b) Determine the type of test statistic to use.(Choose one) ▼OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

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Description: 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 includesmaller dose of its main, active ingredient. Due to this change, a medical researcher suspect

Given : n=240 , X=149 , p0=0.65 , α=0.05 We want test the claim that the proportion of people who…

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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 o the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by 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 o the drug, the proportion, p, of people who find relief is lower than 65%. A random sample of 240 patients who use the new version is selected by the

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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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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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
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 240 patients who use the new version is selected by the
researcher, and 149 of them find relief from depression. Based on these data, can we support the researcher'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,.
Ho :0
H¡ :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
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 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
Ix

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