In a study of treatments for very painful "cluster" headaches, 154 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 154 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 24 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.
In a study of treatments for very painful "cluster" headaches, 154 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 154 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 24 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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In a study of treatments for very painful "cluster" headaches, 154 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 154 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 24 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.
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 154 patients were treated with oxygen and 157 other patients were given a placebo
consisting of ordinary air. Among the 154 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the
157 patients given the placebo, 24 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?
O A. Ho: P₁ = P₂
H₁: P₁ P₂
O D. Ho: P₁ P₂
H₁: P₁ = P₂
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
OB. Ho: P₁ P₂
H₁: P₁ P₂
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
O E. Ho: P₁ = P₂
H₁: P₁ P₂
The 98% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
the significance level of x = 0.01, so (2).
the null hypothesis. There
The P-value is (1).
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.
< (P₁-P₂) <[
Because the confidence interval limits (4).
limits include (6)
c. Based the results, is the oxygen treatment effective?
(1) ○ greater than
less than
only positive
positive and negative
only negative
values, it appears that the cure rate is (7) -
OC. Ho: P₁ = P₂
H₁: P₁ #P₂
OF. Ho: P₁ = P₂
H₁: P₁ P₂
0, it appears that the two cure rates are (5).
fail to reject (3) ○ is not sufficient (4)
reject
O is sufficient
higher
the same
lower
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.
O B. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same.
O C. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.
O D. The results are inconclusive.
for the oxygen treatment than for the placebo.
O include
O do not include
Because the confidence interval
(5)
evidence to
not equal.
equal.
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Among the 154 patients in the oxygen treatment group, 121 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 24 were free from headaches 15 minutes after treatment.
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