O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Alexia V Hypothesis test for the difference of population proportions Espanol Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 490 depressed individuals is selected and treated with Resithan, and 184 find relief from their depression. A random sample of 425 depressed individuals is independently selected from the first sample and treated with Exemor, and 167 find relief from their depression. Can we conclude, at the 0.10 level of significance, that the proportion p, of depressed individuals taking Resithan who find relief from depression is less than the proportion P2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. D 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 Ho and the alternative hypothesis H. O P H : 0 X S P H : 1' (b) Determine the type of test statistic to use. (Choose one) V 0-0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) *0 00 X 5 ? (d) Find the p-value. (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? Yes No