In a study of treatments for very painful "cluster" headaches, 153 patients were treated with oxygen and 147 other patients were given a placebo consisting of ordinary air. Among the 153 patie oxygen treatment group, 114 were free from headaches 15 minutes after treatment. Among the 147 patients given the placebo, 34 were free from headaches 15 minutes after treatment. Use : significance level to test the claim that the oxygen treatment is effective. 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 fo hypothesis test? OC. Họ: P1 = P2 H:P1 > P2 OF. Ho: P1 SP2 H1: P1 #P2 O A. Ho: P1 = P2 H: P1

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In a study of treatments for very painful​ "cluster" headaches,
153
patients were treated with oxygen and
147
other patients were given a placebo consisting of ordinary air. Among the
153
patients in the oxygen treatment​ group,
114
were free from headaches 15 minutes after treatment. Among the
147
patients given the​ placebo,
34
were free from headaches 15 minutes after treatment. Use a
0.01
significance level to test the claim that the oxygen treatment is effective.
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, 153 patients were treated with oxygen, and 147 other patients were given a placebo consisting of ordinary air. Among the 153 patients in the oxygen treatment group, 114 were free from headaches 15 minutes after treatment. Among the 147 patients given the placebo, 34 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective.

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. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 < p_2 \)

- B. \( H_0: p_1 \neq p_2 \)  
  \( H_1: p_1 = p_2 \)

- C. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 > p_2 \)

- D. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 \neq p_2 \)

- E. \( H_0: p_1 \geq p_2 \)  
  \( H_1: p_1 \neq p_2 \)

- F. \( H_0: p_1 \leq p_2 \)  
  \( H_1: p_1 \neq p_2 \)

Identify the test statistic:

\( z = \) [ ]

(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 P-value is [ ] the significance level of \( \alpha = 0.01 \), so [ ] the null hypothesis. There is [ ] evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
Transcribed Image Text:In a study of treatments for very painful "cluster" headaches, 153 patients were treated with oxygen, and 147 other patients were given a placebo consisting of ordinary air. Among the 153 patients in the oxygen treatment group, 114 were free from headaches 15 minutes after treatment. Among the 147 patients given the placebo, 34 were free from headaches 15 minutes after treatment. Use a 0.01 significance level to test the claim that the oxygen treatment is effective. 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. \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - B. \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - C. \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - D. \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - E. \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - F. \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) Identify the test statistic: \( z = \) [ ] (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 P-value is [ ] the significance level of \( \alpha = 0.01 \), so [ ] the null hypothesis. There is [ ] evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.
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