Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 577 depressed individuals is selected and treated with Resithan, and 285 find relief from their depression. A random sample of 570 depressed individuals is independently selected from the first sample and treated with Exemor, and 236 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater 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.

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 H1. H P H : 1 X S P H , : I (b) Determine the type of test statistic to use. (Choose one) 0=0 0s0 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0#0 00 X 5 ? (d) Find the critical value at the 0.05 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 greater than the proportion taking Exemor who find relief? Yes No