In a study of treatments for very painful "cluster" headaches, 145 patients were treated with oxygen and 144 other patients were given a placebo consisting of ordinary air. Among the 145 patients in the oxygen treatment group, 124 were free from headaches 15 minutes after treatment. Among the 144 patients given the placebo, 32 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. Identify the test statistic. z= (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Identify the test statistics, pvalue and 98% confidence interval

**Study Overview and Statistical Analysis in Cluster Headache Treatment**

In a study focused on evaluating treatments for very painful "cluster" headaches, 145 patients were treated with oxygen, while another group of 144 patients received a placebo consisting of ordinary air. The effectiveness of the treatment was measured by the number of patients who were headache-free 15 minutes after receiving the treatment.

**Study Results:**
- Oxygen Treatment Group:
  - Total patients: 145
  - Patients headache-free after 15 minutes: 124
- Placebo Group:
  - Total patients: 144
  - Patients headache-free after 15 minutes: 32

To determine the effectiveness of the oxygen treatment, a statistical test was conducted using a significance level of 0.05.

**Objective:**
To test the hypothesis that the oxygen treatment is effective compared to the placebo.

**Instructions for Analysis:**
1. **Identify the test statistic**:
   - The test statistic is denoted by \( z \).
   - Enter the calculated value of \( z \) in the provided box.

> **Note:** Round the value of \( z \) to two decimal places as needed.

______ 
\( z = \) [Enter value here] 

*(Round to two decimal places as needed.)*

This description and analysis form part of a comprehensive study used for educational purposes, demonstrating the application of hypothesis testing in clinical research.
Transcribed Image Text:**Study Overview and Statistical Analysis in Cluster Headache Treatment** In a study focused on evaluating treatments for very painful "cluster" headaches, 145 patients were treated with oxygen, while another group of 144 patients received a placebo consisting of ordinary air. The effectiveness of the treatment was measured by the number of patients who were headache-free 15 minutes after receiving the treatment. **Study Results:** - Oxygen Treatment Group: - Total patients: 145 - Patients headache-free after 15 minutes: 124 - Placebo Group: - Total patients: 144 - Patients headache-free after 15 minutes: 32 To determine the effectiveness of the oxygen treatment, a statistical test was conducted using a significance level of 0.05. **Objective:** To test the hypothesis that the oxygen treatment is effective compared to the placebo. **Instructions for Analysis:** 1. **Identify the test statistic**: - The test statistic is denoted by \( z \). - Enter the calculated value of \( z \) in the provided box. > **Note:** Round the value of \( z \) to two decimal places as needed. ______ \( z = \) [Enter value here] *(Round to two decimal places as needed.)* This description and analysis form part of a comprehensive study used for educational purposes, demonstrating the application of hypothesis testing in clinical research.
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