In a study of treatments for very painful "cluster headaches, 147 patients were treated with oxygen and 149 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the axygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 149 patients given the placebo, 24 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

In a study of treatments for very painful "cluster headaches, 147 patients were treated with oxygen and 149 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the axygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 149 patients given the placebo, 24 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The first box options are "greater than" or "less than" . Second box is "reject" or "fail to reject" this is "is" or "is not".

next sentence first box is "do not include" or "include" Second box is "equal" or "not equal" third box is only negative or positive&negative or only positive. Fourth box is the same or lower or higher.

### Cluster Headache Treatment Study

In a study of treatments for very painful "cluster" headaches, 147 patients were treated with oxygen, and 149 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the oxygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 149 patients given the placebo, 24 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 patients treated with oxygen and the second sample to be those given a placebo. What are the null and alternative hypotheses?

- **O A**. $ H_0: p_1 = p_2 $
$ H_1: p_1 < p_2 $

- **O B**. $ H_0: p_1 \neq p_2 $
$ H_1: p_1 = p_2 $

- **O C**. $ H_0: p_1 \neq p_2 $
$ H_1: p_1 > p_2 $

- **O D**. $ H_0: p_1 = p_2 $
$ H_1: p_1 > p_2 $

- **O E**. $ H_0: p_1 = p_2 $
$ H_1: p_1 \neq p_2 $

- **O F**. $ H_0: p_1 = p_2 $
$ H_1: p_1 \ge p_2 $

**Identify the test statistic:**

\[ z = \_ \_ \_ \_ \]
(Round to two decimal places as needed.)

**Identify the P-value:**

\[ \text{P-value} = \_ \_ \_ \_ \]
(Round to three decimal places as needed.)

**What is the conclusion based on the hypothesis test?**

The P-value $\_\_\_\_$ the significance level $\alpha = 0.01$, so $\_\_\_\_$ the null hypothesis. There $\_\_\_\_$ evidence to support the claim

In a study of treatments for very painful "cluster" headaches, 147 patients were treated with oxygen and 149 other patients were given a placebo consisting of ordinary air. Among the 147 patients in the oxygen treatment group, 113 were free from headaches 15 minutes after treatment. Among the 149 patients given the placebo, 24 were free from headaches 15 minutes after treatment. Use a 0.001 significance level to test the claim that the oxygen treatment is effective. Complete parts (a) through (c) below.

**P-value =**
(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

The P-value is (Select) the significance level of α = 0.01, so (Select) the null hypothesis. There (Select) evidence to support the claim that the cure rate with oxygen treatment is higher than the cure rate for those given a placebo.

b. Test the claim by constructing an appropriate confidence interval.

The 98% confidence interval is ( , )
(Round to three decimal places as needed.)

What is the conclusion based on the confidence interval?

Because the confidence interval limits (Select) 0, it appears that the two cure rates are (Select) Because the confidence interval limits include (Select) values, it appears that the cure rate is (Select) for the oxygen treatment than for the placebo.

c. Based on the results, is the oxygen treatment effective?

A. The results suggest that the oxygen treatment is effective in curing "cluster" headaches.
B. 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.
C. The results suggest that the oxygen treatment is not effective in curing "cluster" headaches because the cure rates appear to be the same.
D. The results are inconclusive.

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