Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 493 depressed individuals is selected and treated with Resithan, and 222 find relief from their depression. A random sample of 538 depressed individuals is independently selected from the first sample and treated with Exemor, and 207 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p, of all depressed individuals taking Resithan who find relief from depression is greater 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.

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Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 493 depressed individuals is selected and treated with Resithan, and 222 find relief from their depression. A random sample of 538 depressed individuals is independently selected from the first sample and treated with Exemor, and 207 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor who find relief from depression?

Perform a [one-tailed test](#). Then complete the parts below.
Transcribed Image Text:Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 493 depressed individuals is selected and treated with Resithan, and 222 find relief from their depression. A random sample of 538 depressed individuals is independently selected from the first sample and treated with Exemor, and 207 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor who find relief from depression? Perform a [one-tailed test](#). Then complete the parts below.
(c) Find the value of the test statistic. (Round to three or more decimal places.)

[Input Box]

(d) Find the *p*-value. (Round to three or more decimal places.)

[Input Box]

(e) Can we conclude that the proportion of depressed individuals taking Resithan who find relief is greater than the proportion taking Exemor who find relief?
Transcribed Image Text:(c) Find the value of the test statistic. (Round to three or more decimal places.) [Input Box] (d) Find the *p*-value. (Round to three or more decimal places.) [Input Box] (e) Can we conclude that the proportion of depressed individuals taking Resithan who find relief is greater than the proportion taking Exemor who find relief?
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