Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 422 depressed individuals is selected and treated with Resithan, and 167 find relief from their depression. A random sample of 579 depressed individuals is independently selected from the first sample and treated with Exemor, and 203 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 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 Ho and the alternative hypothesis H₁. H₁ ☐ H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) μ x ロ=ロ a S □□ □≠□ □<□ р (d) Find the critical value at the 0.01 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? O Yes O No
Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 422 depressed individuals is selected and treated with Resithan, and 167 find relief from their depression. A random sample of 579 depressed individuals is independently selected from the first sample and treated with Exemor, and 203 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.01 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 Ho and the alternative hypothesis H₁. H₁ ☐ H₁:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) μ x ロ=ロ a S □□ □≠□ □<□ р (d) Find the critical value at the 0.01 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? O Yes O No
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.EA: Extended Application Contagion
Problem 2EA
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Transcribed Image Text:Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the
company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 422 depressed individuals is selected and
treated with Resithan, and 167 find relief from their depression. A random sample of 579 depressed individuals is independently selected from the first sample
and treated with Exemor, and 203 find relief from their depression.
Based on the medical researcher's study can we conclude, at the 0.01 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 Ho and the alternative hypothesis H₁.
H₁ ☐
H₁:0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
μ
x
ロ=ロ
a
S
□□
□≠□ □<□
р
(d) Find the critical value at the 0.01 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?
O Yes O No
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