- In A Study Of Treatments For Very Painful Cluster Headaches 148 Patients Were Treated With Oxygen And 149 Other Patie 1 (55.94 KiB) Viewed 29 times
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In a study of treatments for very painful "cluster" headaches, 148 patients were treated with oxygen and 149 other patients were given a placebo consisting of ordinary air. Among the 148 patients in the oxygen treatment group, 123 were free from headaches 15 minutes after treatment. Among the 149 patients given the placebo, 27 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? ỌC. Ho-P12P2 O A. Ho: P₁ P2 H₁: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ P₂ H₁: P₁ P₂ OF O D. Ho: P₁ = P2 O E. Ho: P₁ P₂ H₁: P₁ #P2 Ho-P1#P2 H₁: P₁ P2 H₁: P₁ P2
Identify the test statistic. z = 11.02 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so those given a placebo. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is 0.562 < (P₁-P2) < 0.709. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits do not include 0, it appears that the two cure rates are not equal. Because the confidence interval limits include higher for the oxygen treatment than for the placebo. reject the null hypothesis. There is sufficient evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for only positive values, it appears that the cure rate is
c. Based on the results, is the oxygen treatment effective? O A. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same. OB. The results suggest that the oxygen treatment is effective in curing "cluster" headaches. C. 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 D. The results are inconclusive.