Question 572713: Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 550 depressed individuals is selected and treated with Resithan, and 263 find relief from their depression. A random sample of 401 depressed individuals is independently selected from the first sample and treated with Exemor, and 189 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion of all depressed individuals taking Resithan who find relief from depression is greater than the proportion of all depressed individuals taking Exemor who find relief from depression?
Perform a one-tailed test.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two popular drugs used for the treatment of depression are Resithan and Exemor.
----------------------------------------------------------
A random sample of 550 depressed individuals is selected and treated with Resithan, and 263 find relief from their depression.
----------------------------------------------------------
A random sample of 401 depressed individuals is independently selected from the first sample and treated with Exemor, and 189 find relief from their depression.
----------------------------------------------------------
Can we conclude, at the 0.05 level of significance, that the proportion of all depressed individuals taking Resithan who find relief from depression is greater than the proportion of all depressed individuals taking Exemor who find relief from depression?
----------------------------------------------------------
Perform a one-tailed test.
------
Ho: p(Res)-p(Ex) <= 0
Ha: p(Res)-p(Ex) > 0 (claim)
------
Using a TI84:
I ran a 2-PropZtest and got the following results:
test statistic: z = 0.2092
p-value: 0.4171
Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
The test results do not support the claim.
===================
Cheers,
Stan H.
===================
|
|
|
