Answered: In a study of treatments for very…

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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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,

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.

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