Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 509 depressed individuals is selected and treated with Resithan, and 178 find relief from their depression. A random sample of 502 depressed individuals is independently selected from the first sample and treated with Exemor, and 170 find relief from their depression. Can we conclude, at the 0.1 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression differs from the proportion p2 of all depressed individuals taking Exemor who find relief from depression?

Perform a two-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 Ho and the alternative hypothesis H. P Ho : 0 X S p H : 1 (b) Determine the type of test statistic to use. (Choose one) 0=0 Oso 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0#0 00 X ? (d) Find the two critical values at the 0.1 level of significance. (Round to three or more decimal places.) [ and ] (e) Can we conclude that the proportion of depressed individuals taking Resithan who find relief differs from the proportion taking Exemor who find relief? Yes ONo