In a study of treatments for very painful "cluster" headaches, 142 patients were treated with oxygen and 145 other patients were given a placebo consisting of ordinary air. Among the 142 patients in the oxygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 145 patients given the placebo, 39 were free from headaches 15 minutes after treatment. Use a 0.05 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? OC. Ho: P1 SP2 H: P, #P2 B. Ho: P1 2 P2 O A. Ho: P1 #P2 H: P1 = P2 H: P1 #P2 F. Ho P1 P2 O D. Ho: P1 = P2 H: P, P2 Identify the test statistic.

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please help me also find the p value and what the conclusion would be. Thank you!

In a study of treatments for very painful "cluster" headaches, 142 patients were treated with oxygen and 145 other patients were given a placebo consisting of ordinary
air. Among the 142 patients in the oxygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 145 patients given the placebo, 39
were free from headaches 15 minutes after treatment. Use a 0.05 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 B. Ho: P1 2 P2
H1:P, #P2
O C. Ho: P1 SP2
H1:P1 # P2
O E. Ho: P1 = P2
H4:P1 # P2
F. Ho: P1=P2
H:Pq> P2
OD. Ho: P1 = P2
H4: P1 <P2
Identify the test statistic.
(Round to two decimal places as needed.)
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 142 patients were treated with oxygen and 145 other patients were given a placebo consisting of ordinary air. Among the 142 patients in the oxygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 145 patients given the placebo, 39 were free from headaches 15 minutes after treatment. Use a 0.05 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 B. Ho: P1 2 P2 H1:P, #P2 O C. Ho: P1 SP2 H1:P1 # P2 O E. Ho: P1 = P2 H4:P1 # P2 F. Ho: P1=P2 H:Pq> P2 OD. Ho: P1 = P2 H4: P1 <P2 Identify the test statistic. (Round to two decimal places as needed.)
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