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 575 depressed individuals is selected and treated with Resithan, and 226 find relief from their depression. A random sample of 508 depressed individuals is independently selected from the first sample and treated with Exemor, and 160 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.10 level of significance, that the proportion p, 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. H₂:0 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.) 0 (d) Find the critical value at the 0.10 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? H |x X 5 a S Р 0

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 575 depressed individuals is
selected and treated with Resithan, and 226 find relief from their depression.
A random sample of 508 depressed individuals is independently selected
from the first sample and treated with Exemor, and 160 find relief from their
depression.
Based on the medical researcher's study can we conclude, at the 0.10 level
of significance, that the proportion p, of all depressed individuals taking
Resithan who find relief from depression is greater than the proportion ₂ 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.
Ho :0
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.)
(d)
Find the critical value at the 0.10 level of significance. (Round to three or more
decimal places.)
0
(e) Can we conclude that the proportion of depressed individuals taking Resithan who
find
the proportion taking Exen
find relief?
greater
Yes No
H
0-0
X
O
S
OSO
0<0
P
ola
020
O>O
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 575 depressed individuals is selected and treated with Resithan, and 226 find relief from their depression. A random sample of 508 depressed individuals is independently selected from the first sample and treated with Exemor, and 160 find relief from their depression. Based on the medical researcher's study can we conclude, at the 0.10 level of significance, that the proportion p, of all depressed individuals taking Resithan who find relief from depression is greater than the proportion ₂ 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. Ho :0 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.) (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) 0 (e) Can we conclude that the proportion of depressed individuals taking Resithan who find the proportion taking Exen find relief? greater Yes No H 0-0 X O S OSO 0<0 P ola 020 O>O
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