In a study of treatments for very painful "cluster" headaches, 153 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 153 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 20 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that the oxygen treatment i s 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 H₁: P₁ = P2 O D. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.). OB. Ho: P1 P2 H₁: P₁ P2 C O E. Ho: P1 = P2 H₁: P₁ P2 OC. Ho: P1 H₁: P₁ OF. Ho: P1 H₁: P₁ P2 P2 P2 P2

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P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
is higher than the cure rate for those given a placebo.
▼the significance level of α = 0.05, so
b. Test the claim by constructing an appropriate confidence interval.
The 90% 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
appears that the cure rate is
the null hypothesis. There
0, it appears that the two cure rates are
for the oxygen treatment than for the placebo.
✔ evidence to support the claim that the cure rate with oxygen treatment
▼Because the confidence interval limits include
▼values, it
Transcribed Image Text:P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is is higher than the cure rate for those given a placebo. ▼the significance level of α = 0.05, so b. Test the claim by constructing an appropriate confidence interval. The 90% 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 appears that the cure rate is the null hypothesis. There 0, it appears that the two cure rates are for the oxygen treatment than for the placebo. ✔ evidence to support the claim that the cure rate with oxygen treatment ▼Because the confidence interval limits include ▼values, it
In a study of treatments for very painful "cluster" headaches, 153 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 153 patients in
the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 20 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 D. Ho: P1 P2
H₁: P₁ P2
Identify the test statistic.
z=0
(Round to two decimal places as needed.)
OB. Ho: P1 P2
H₁: P₁
P2
O E. Ho: P1
H₁: P₁
P2
P2
OC. Ho: P1 P2
H₁: P₁
P₂
OF. Ho: P1
H₁: P₁
P2
P2
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 153 patients were treated with oxygen and 157 other patients were given a placebo consisting of ordinary air. Among the 153 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 157 patients given the placebo, 20 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 D. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. z=0 (Round to two decimal places as needed.) OB. Ho: P1 P2 H₁: P₁ P2 O E. Ho: P1 H₁: P₁ P2 P2 OC. Ho: P1 P2 H₁: P₁ P₂ OF. Ho: P1 H₁: P₁ P2 P2
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