Aspirin prevents blood from clotting and helps prevent strokes. The Second European Stroke Prevention Study asked whether adding another anticlotting drug named dipyridamole would make a difference for patients who had already had a stroke. Here are the data on strokes during the two years of the study: Aspirin alone Apsirin & Dipyridamole Number of Patients 200 What is the test statistic? 200 Number of Strokes Is there a significant difference in the proportion of strokes in the two groups? Test at a = 0.05. Round your answers to three decimal places, and round any interim calculations to four decimal places. P₂ 60 Fill in the hypotheses below where p₁ denotes the proportion of patients in the aspirin group who suffered a stroke and på denotes the proportion of patients in the aspirin & dipyridamole group who suffered a stroke. Ho: P Ha: P₁ This test is two-tailed. P₂ 86 Part 2 of 4

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**Aspirin Stroke Prevention Study**

**Background:**
Aspirin is known to prevent blood from clotting and helps in preventing strokes. The Second European Stroke Prevention Study evaluated the effectiveness of combining aspirin with another anticlotting drug, dipyridamole, for patients who had previously suffered a stroke. 

**Study Data:**
The data below represents the number of strokes experienced by patients over two years:

| Treatment Group                | Number of Patients | Number of Strokes |
|--------------------------------|--------------------|-------------------|
| Aspirin alone                  | 200                | 60                |
| Aspirin & Dipyridamole         | 200                | 86                |

**Research Question:**
Is there a significant difference in the proportion of strokes between the two groups? The test significance level is set at \(\alpha = 0.05\). Calculations should be rounded to three decimal places, with interim results rounded to four decimal places.

**Hypotheses:**

- Null Hypothesis (\(H_0\)): \( p_1 = p_2 \)
  - \(p_1\) represents the proportion of stroke patients in the aspirin group.
  - \(p_2\) represents the proportion of stroke patients in the aspirin & dipyridamole group.

- Alternative Hypothesis (\(H_a\)): \( p_1 \neq p_2 \)

**Test Type:** Two-tailed

**Question:**
What is the test statistic? (Please fill in the answer box provided.)
Transcribed Image Text:**Aspirin Stroke Prevention Study** **Background:** Aspirin is known to prevent blood from clotting and helps in preventing strokes. The Second European Stroke Prevention Study evaluated the effectiveness of combining aspirin with another anticlotting drug, dipyridamole, for patients who had previously suffered a stroke. **Study Data:** The data below represents the number of strokes experienced by patients over two years: | Treatment Group | Number of Patients | Number of Strokes | |--------------------------------|--------------------|-------------------| | Aspirin alone | 200 | 60 | | Aspirin & Dipyridamole | 200 | 86 | **Research Question:** Is there a significant difference in the proportion of strokes between the two groups? The test significance level is set at \(\alpha = 0.05\). Calculations should be rounded to three decimal places, with interim results rounded to four decimal places. **Hypotheses:** - Null Hypothesis (\(H_0\)): \( p_1 = p_2 \) - \(p_1\) represents the proportion of stroke patients in the aspirin group. - \(p_2\) represents the proportion of stroke patients in the aspirin & dipyridamole group. - Alternative Hypothesis (\(H_a\)): \( p_1 \neq p_2 \) **Test Type:** Two-tailed **Question:** What is the test statistic? (Please fill in the answer box provided.)
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