X1 = 20, n = 50, X2 = 15, n2 = 75; Ho: P1 = P2, Ha: P1 > P2, a = 0.05 ..... O A. 0.0032 O B. 0.0073 O C. 0.0146 OD. 0.1201

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**Two-Proportions Z-Test Example**

A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-value for the hypothesis test:

- \(x_1 = 20\), \(n_1 = 50\)
- \(x_2 = 15\), \(n_2 = 75\)
- Null Hypothesis (\(H_0\)): \(p_1 = p_2\)
- Alternative Hypothesis (\(H_a\)): \(p_1 > p_2\)
- Significance level (\(\alpha\)): 0.05

**Choose the correct P-value:**

A. 0.0032  
B. 0.0073  
C. 0.0146  
D. 0.1201  

The diagram that follows includes a set of radio buttons corresponding to each of the answer choices, allowing the selection of one option.
Transcribed Image Text:**Two-Proportions Z-Test Example** A two-proportions z-test is to be performed using the P-value approach. Use the given sample data to find the P-value for the hypothesis test: - \(x_1 = 20\), \(n_1 = 50\) - \(x_2 = 15\), \(n_2 = 75\) - Null Hypothesis (\(H_0\)): \(p_1 = p_2\) - Alternative Hypothesis (\(H_a\)): \(p_1 > p_2\) - Significance level (\(\alpha\)): 0.05 **Choose the correct P-value:** A. 0.0032 B. 0.0073 C. 0.0146 D. 0.1201 The diagram that follows includes a set of radio buttons corresponding to each of the answer choices, allowing the selection of one option.
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