Suppose you want to test the claim that u> 25.6. Given a sample size of n = 47 and a level of significance of a = 0.1, when should you reject Ho? ...... O A. Reject H, if the standardized test statistic is greater than 2.33. O B. Reject H, if the standardized test statistic is greater than 1.28. O C. Reject H, if the standardized test statistic is greater than 2.575. O D. Reject H, if the standardized test statistic is greater than 1.645.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Hypothesis Testing Scenario:**

Suppose you want to test the claim that \( \mu > 25.6 \). Given:
- Sample size (\( n \)) = 47
- Level of significance (\( \alpha \)) = 0.1

**Question:**
When should you reject the null hypothesis \( H_0 \)?

**Options:**
- **A.** Reject \( H_0 \) if the standardized test statistic is greater than 2.33.
- **B.** Reject \( H_0 \) if the standardized test statistic is greater than 1.28. (Correct Option)
- **C.** Reject \( H_0 \) if the standardized test statistic is greater than 2.575.
- **D.** Reject \( H_0 \) if the standardized test statistic is greater than 1.645.

**Explanation:**
The correct critical value for a one-tailed test at a 0.1 significance level is approximately 1.28. Therefore, the null hypothesis should be rejected if the test statistic exceeds this value.
Transcribed Image Text:**Hypothesis Testing Scenario:** Suppose you want to test the claim that \( \mu > 25.6 \). Given: - Sample size (\( n \)) = 47 - Level of significance (\( \alpha \)) = 0.1 **Question:** When should you reject the null hypothesis \( H_0 \)? **Options:** - **A.** Reject \( H_0 \) if the standardized test statistic is greater than 2.33. - **B.** Reject \( H_0 \) if the standardized test statistic is greater than 1.28. (Correct Option) - **C.** Reject \( H_0 \) if the standardized test statistic is greater than 2.575. - **D.** Reject \( H_0 \) if the standardized test statistic is greater than 1.645. **Explanation:** The correct critical value for a one-tailed test at a 0.1 significance level is approximately 1.28. Therefore, the null hypothesis should be rejected if the test statistic exceeds this value.
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