An independent consumer group states that, among all people with depression who use a new antidepressant, the proportion of people who find relief from depression is 65%. A random sample of 235 patients who use the drug is selected, and 147 of them find relief from depression. Based on these data, can we reject the consumer group's claim at the 0.05 level of significance? 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 table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D H₁ (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 p-value. (Round to three or more decimal places.) 0 (e) Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is 65%? OYes No H D S X Р 0

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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Question
An independent consumer group states that, among all people with
depression who use a new antidepressant, the proportion of people
who find relief from depression is 65%. A random sample of 235 patients
who use the drug is selected, and 147 of them find relief from depression.
Based on these data, can we reject the consumer group's claim at the
0.05 level of significance?
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 table. (If necessary, consult
a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H₁.
Ho :D
(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 p-value. (Round to three or more decimal places.)
0
(e) Can we reject the claim that the proportion of people who find relief from
depression using the new antidepressant is 65%?
OYes No
F
|x
X
a
X
Р
<Q
00
ORO 050 0-0
0<0 0>0
Transcribed Image Text:An independent consumer group states that, among all people with depression who use a new antidepressant, the proportion of people who find relief from depression is 65%. A random sample of 235 patients who use the drug is selected, and 147 of them find relief from depression. Based on these data, can we reject the consumer group's claim at the 0.05 level of significance? 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 table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. Ho :D (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 p-value. (Round to three or more decimal places.) 0 (e) Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is 65%? OYes No F |x X a X Р <Q 00 ORO 050 0-0 0<0 0>0
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