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Section 9.1 Homework
3. In a study of treatments for very painful “cluster” headaches, 143 patients were treated with oxygen and 151 other patients were given a placebo consisting of ordinary air. Among the 143 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 151 patients given the placebo, 32 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.
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?
Identify the test statistic.
Z=
Identify the P-value.
P-value =
What is the conclusion based on the hypothesis test?
The P-value is __________ the significance level of á=0.01, so _______ the null hypothesis. There ______ evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is ______
What is the conclusion based on the confidence interval?
Because the confidence interval limits ________0, it appears that the two cure rates are ______ Because the confidence interval limits include ______ values, it appears that the cure rate is _______ for the oxygen treatment than for the placebo.
Based on the results, is the oxygen treatment effective?
- 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.
- The results suggest that the oxygen treatment is effective in curing “cluster” headaches.
- The results suggest that the oxygen treatment is not effective in curing “cluster” headaches because the cure rates appear to be the same.
- The results are inconclusive.