antidepressant drug or a placebo for six weeks. Of the 324 patients who received the antidepressant drug, 27 were not smoking one year later. Of the 476 patients who received the placebo, 56 were not smoking one year later. Given the null hypothesis Ho (Pdrug - Pplacebo) = 0 and the alternative hypothesis Ha (Pdrug - Pplacebo) #0, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use a = 0.01, (a) The test statistic is (b) The P-value is #

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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 Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an 

In a study, patients were administered either an antidepressant drug or a placebo for six weeks to evaluate if the antidepressant can help smokers quit. 

- Out of 324 patients who received the antidepressant, 27 were not smoking one year later.
- Out of 476 patients who received the placebo, 56 were not smoking one year later.

**Hypotheses:**

- Null Hypothesis (\(H_0\)): \(p_{\text{drug}} - p_{\text{placebo}} = 0\)

- Alternative Hypothesis (\(H_a\)): \(p_{\text{drug}} - p_{\text{placebo}} \neq 0\)

**Objective:** Conduct a test to determine if the antidepressant is effective in helping smokers quit. The level of significance (\(\alpha\)) is 0.01.

**Tasks:**

(a) Calculate the test statistic.

(b) Determine the P-value.
Transcribed Image Text:In a study, patients were administered either an antidepressant drug or a placebo for six weeks to evaluate if the antidepressant can help smokers quit. - Out of 324 patients who received the antidepressant, 27 were not smoking one year later. - Out of 476 patients who received the placebo, 56 were not smoking one year later. **Hypotheses:** - Null Hypothesis (\(H_0\)): \(p_{\text{drug}} - p_{\text{placebo}} = 0\) - Alternative Hypothesis (\(H_a\)): \(p_{\text{drug}} - p_{\text{placebo}} \neq 0\) **Objective:** Conduct a test to determine if the antidepressant is effective in helping smokers quit. The level of significance (\(\alpha\)) is 0.01. **Tasks:** (a) Calculate the test statistic. (b) Determine the P-value.
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