In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 156 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 109 were free from headaches 15 minutes after treatment. Among the 156 patients given the placebo, 37 were free from headaches 15 minutes after treatment Use a 001 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 156 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 109 were free from headaches
15 minutes after treatment. Among the 156 patients given the placebo, 37 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of α = 0.01, so
the null hypothesis. There
evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is
< (P₁-P2)
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, it appears that the two cure rates are
Because the confidence interval limits include
values, it appears that the cure rate is
for the oxygen treatment
than for the placebo.
c. Based on the results, is the oxygen treatment effective?
OA. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears to be lower than that of the placebo.
OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.
OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same
OD. The results are inconclusive.
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 156 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 109 were free from headaches 15 minutes after treatment. Among the 156 patients given the placebo, 37 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of α = 0.01, so the null hypothesis. There evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is < (P₁-P2) (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits 0, it appears that the two cure rates are Because the confidence interval limits include values, it appears that the cure rate is for the oxygen treatment than for the placebo. c. Based on the results, is the oxygen treatment effective? OA. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rate for the oxygen treatment appears to be lower than that of the placebo. OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches. OC. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same OD. The results are inconclusive.
In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 156 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 109 were free from headaches
15 minutes after treatment. Among the 156 patients given the placebo, 37 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below.
...
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test?
OA. Ho P₁ P2
OC. Ho P₁ P2
OB. Ho P₁ P2
H₁: P₁ P₂
H₁: P₁ P₂
H₁ P₁ P₂
OF. Ho P1 P2
OD. Ho: P₁ P2
E. Ho: P₁ = P2
H₁: P₁ P2
H₁ P₁ P₂
H₁ P₁ P₂
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
the null hypothesis There
evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
The P-value is
the significance level of α = 0.01, so
b. Test the claim by constructing an appropriate confidence interval
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 156 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 109 were free from headaches 15 minutes after treatment. Among the 156 patients given the placebo, 37 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below. ... a. Test the claim using a hypothesis test. Consider the first sample to be the sample of patients treated with oxygen and the second sample to be the sample of patients given a placebo. What are the null and alternative hypotheses for the hypothesis test? OA. Ho P₁ P2 OC. Ho P₁ P2 OB. Ho P₁ P2 H₁: P₁ P₂ H₁: P₁ P₂ H₁ P₁ P₂ OF. Ho P1 P2 OD. Ho: P₁ P2 E. Ho: P₁ = P2 H₁: P₁ P2 H₁ P₁ P₂ H₁ P₁ P₂ Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the null hypothesis There evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo. The P-value is the significance level of α = 0.01, so b. Test the claim by constructing an appropriate confidence interval
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