A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: H₂: p = 0.7 p = 0.7 What type of test is being conducted in this problem? A. Right-tailed test B. Two-tailed test C. Left-tailed test 20

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### Hypothesis Testing: Identifying the Type of Test

**Problem Statement:**

A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

**Hypotheses:**
- Null Hypothesis (\(H_0\)): \( p = 0.7 \)
- Alternative Hypothesis (\(H_a\)): \( p \ne 0.7 \)

**Question:**

What type of test is being conducted in this problem?

**Options:**

- A. Right-tailed test
- B. Two-tailed test
- C. Left-tailed test

**Explanation:**

The null hypothesis (\(H_0\)) states that the population proportion \(p\) is equal to 0.7. The alternative hypothesis (\(H_a\)) indicates that the population proportion \(p\) is not equal to 0.7. Since the alternative hypothesis is testing for a difference in either direction (i.e., \( p \ne 0.7 \) can be either \( p > 0.7 \) or \( p < 0.7 \)), it is a two-tailed test.

**Correct Answer:** B. Two-tailed test
Transcribed Image Text:### Hypothesis Testing: Identifying the Type of Test **Problem Statement:** A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. **Hypotheses:** - Null Hypothesis (\(H_0\)): \( p = 0.7 \) - Alternative Hypothesis (\(H_a\)): \( p \ne 0.7 \) **Question:** What type of test is being conducted in this problem? **Options:** - A. Right-tailed test - B. Two-tailed test - C. Left-tailed test **Explanation:** The null hypothesis (\(H_0\)) states that the population proportion \(p\) is equal to 0.7. The alternative hypothesis (\(H_a\)) indicates that the population proportion \(p\) is not equal to 0.7. Since the alternative hypothesis is testing for a difference in either direction (i.e., \( p \ne 0.7 \) can be either \( p > 0.7 \) or \( p < 0.7 \)), it is a two-tailed test. **Correct Answer:** B. Two-tailed test
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