Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 457 depressed individuals is selected and treated with Resithan, and 169 find relief from their depression. A random sample of 555 depressed individuals is independently selected from the first sample and treated with Exemor, and 252 find relief from their depression. Can we conclude, at the 0.01 level of significance, that the proportion p, of depressed individuals taking Resithan who find relief from depression is less than the proportion p, of all depressed individuals taking Exemor who find relief from depression? 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 parts below. (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) ▼ O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) O

Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 457 depressed individuals is selected and treated with Resithan, and 169 find relief from their depression. A random sample of 555 depressed individuals is independently selected from the first sample and treated with Exemor, and 252 find relief from their depression. Can we conclude, at the 0.01 level of significance, that the proportion p, of depressed individuals taking Resithan who find relief from depression is less than the proportion p, of all depressed individuals taking Exemor who find relief from depression? 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 parts below. (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) ▼ O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) O

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Description: Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 457 depressed individuals is selected and treated withResithan, and 169 find relief from their depression. A random sample of 555 depressed individual

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

Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 457 depressed individuals is selected and treated with
Resithan, and 169 find relief from their depression. A random sample of 555 depressed individuals is independently selected from the first sample and treated
with Exemor, and 252 find relief from their depression. Can we conclude, at the 0.01 level of significance, that the proportion p, of depressed individuals taking
Resithan who find relief from depression is less than the proportion p, of all depressed individuals taking Exemor who find relief from depression?
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 parts below. (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<O
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
(e) Can we conclude that the proportion of depressed individuals taking Resithan who find relief is
less than the proportion taking Exemor who find relief?

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