What is the conclusion baseèd on the confidence interval?Because the confidence interval limitstreatment than for the placebo.0, it appears that the two cure rates areBecause the confidence interval limits includevalues, it appears that the cure rate isfor the axygenc. 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 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.Click to select your answer(s). In a study of treatments for very painful "cluster headaches, 155 patients were treated with oxygen and 152 other patients were given a placebo consisting of ordinary air. Among the 155 patients in the oxygen treatment group, 125 were freefrom headaches 15 minutes after treatment. Among the 152 patients given the placebo, 21 were free from headaches 15 minutes after treatment. Use a 0.05 significance level to test the claim that the oxygen treatment is effective. Completeparts (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?A. Ho: P, SP2O B. Ho P, P2OC. H6: P, =P2OF. Ho P,2P2OE Ho P1=P2H P,>P2OD. Ho P, P2H:P P2Identify the test statistic.(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 significance level of a= 0.05, sothe null hypothesis. ThereVevidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given aThe P-value isplacebo.b. Test the claim by constructing an appropriate confidence interval.The 90% confidence interval is< (P:-P2)

Name: What is the conclusion baseèd on the confidence interval?Because the
Uploaded: 2024-03-20T07:07:37.000Z
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Description: What is the conclusion baseèd on the confidence interval?Because the confidence interval limitstreatment than for the placebo.0, it appears that the two cure rates areBecause the confidence interval limits includevalues, it appears that the cure rat

Given: Treatment cured Not cured Total Oxygen 125 30 155 Placebo 21 131 152 Let p1 be the proportion of cured patients treated with oxygen and p2 be the proportion of cured patients treated with placebo. a) Hypothesis: The null and alternate hypotheses are below: H0:p1=p2H1:p1>p2 Answer: Option E : H0:p1=p2H1:p1>p2 The value of p^1 is obtained as below: p^1=125155=0.8065 The value of p^2 is obtained as below: p^2=21152=0.1382 The value of pooled proportion is obtained below: p^=125+21155+152=0.4756 The test statistic is obtained as below: z=p^1-p^2-0p^1-p^1n1+1n2=0.8065-0.1382-00.4756×1-0.47561155+1152=0.66830.0032=11.8140 Thus, the test statistic z is 11.81P value: The P-value is obtained Excel function “=NORMSDIST(z)”. Output obtained from Excel is given below: From the output, the P-value is 0(=(1-1)) Thus, the p value is 0.Decision Rule: If p value less than significance level then reject null hypothesis. Otherwise fails to reject null hypothesis. Conclusion: The p value is 0 and significance level is 0.05 Here, p value less than significance level. Thus, the null hypothesis gets rejected. Therefore, there is sufficient evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebob) The 90% confidence interval is obtained below: From the Standard Normal Table, the value of z* for 90% level is 1.645 CI=p^1-p^2±z*p^11-p^1n1+p^21-p^2n2=0.6683±1.645×0.80651-0.8065155+0.13821-0.1382152=0.6683±1.645×0.0010+0.0008=0.6683±1.645×0.0424=0.6683±0.0697=0.5986, 0.7380 Thus, the 90% confidence interval is 0.599<p1-p2<0.738 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 only positive values, it appears that the cure rate is higher for the oxygen treatment than for the placebo.c) Based on the results, Answer: Option B: The results suggest that the oxygen treatment is effective in curing "cluster" headaches.