In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 38 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?

In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 38 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?

Name: identify the test statistics, p value and 90% confidence interval. ###
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Description: identify the test statistics, p value and 90% confidence interval. ### Study on Treatments for Cluster Headaches**Study Description:**In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other p

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Question

identify the test statistics, p value and 90% confidence interval.

### Study on Treatments for Cluster Headaches

**Study Description:**
In a study of treatments for very painful "cluster" headaches, 151 patients were treated with oxygen and 153 other patients were given a placebo consisting of ordinary air. Among the 151 patients in the oxygen treatment group, 120 were free from headaches 15 minutes after treatment. Among the 153 patients given the placebo, 38 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. Hypothesis Testing

**Objective:**
Test the claim using a hypothesis test.

**Scenario:**
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.

**Task:**
What are the null and alternative hypotheses for the hypothesis test?

*Note: There are no graphs or diagrams included in the provided text.*

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