Q 4.14: A 95% confidence interval for p1 – p2 is from 0.12 to 0.28. In which of the following hypothesis tests can we reject the null hypothesis using a 5% significance level: Но : рі 3D р2, На : Рі # p2 Но : рі — р2, На : рі > р2 Но : рі 3D рә, На : рі < р2 A 2 1 C 1 and 3 3 E 1 and 2

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**Question 4.14:** A 95% confidence interval for \( p_1 - p_2 \) is from 0.12 to 0.28. In which of the following hypothesis tests can we reject the null hypothesis using a 5% significance level:

1. \( H_0: p_1 = p_2, \, H_a: p_1 \neq p_2 \)
2. \( H_0: p_1 = p_2, \, H_a: p_1 > p_2 \)
3. \( H_0: p_1 = p_2, \, H_a: p_1 < p_2 \)

**Options:**

A. 2

B. 1

C. 1 and 3

D. 3

E. 1 and 2
Transcribed Image Text:**Question 4.14:** A 95% confidence interval for \( p_1 - p_2 \) is from 0.12 to 0.28. In which of the following hypothesis tests can we reject the null hypothesis using a 5% significance level: 1. \( H_0: p_1 = p_2, \, H_a: p_1 \neq p_2 \) 2. \( H_0: p_1 = p_2, \, H_a: p_1 > p_2 \) 3. \( H_0: p_1 = p_2, \, H_a: p_1 < p_2 \) **Options:** A. 2 B. 1 C. 1 and 3 D. 3 E. 1 and 2
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