c. What is the sampling distribution of the test is abat Proper d. Is the test two-tailed, left-tailed, or r e. What is the value of the test statistic f. What is the P-value?

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## Hypothesis Testing Exercise

### Problem Statement

30. **Gender Selection at 0.05 significance level:** Determine if data indicate a significant difference in the proportion of baby girls born when parents use the XSORT gender selection method. The problem states:

- **Null Hypothesis (\(H_0\)):** The proportion of baby girls (\(p\)) is equal to 0.5.
- **Alternative Hypothesis (\(H_1\)):** The proportion of baby girls (\(p\)) is different from 0.5.

Assume a sample data consists of 55 girls born out of 100 births. Given a sample statistic of 0.55, results in a score that is 1.0 standard deviation above 0.

### Tasks
a. **Identify the null hypothesis and the alternative hypothesis.**

b. **What is the value of \( \alpha \)?**

c. **What is the sample statistic?** Given a sample statistic of 0.55.

d. **Is the test two-tailed, left-tailed, or right-tailed?**

e. **What is the value of the test statistic?**

f. **What is the \( P \)-value?**

g. **What is the critical value?**

h. **What is the area of the critical region?**

---

**Notes:**
- The sampling distribution of the sample statistic is assumed to be normally distributed.
Transcribed Image Text:## Hypothesis Testing Exercise ### Problem Statement 30. **Gender Selection at 0.05 significance level:** Determine if data indicate a significant difference in the proportion of baby girls born when parents use the XSORT gender selection method. The problem states: - **Null Hypothesis (\(H_0\)):** The proportion of baby girls (\(p\)) is equal to 0.5. - **Alternative Hypothesis (\(H_1\)):** The proportion of baby girls (\(p\)) is different from 0.5. Assume a sample data consists of 55 girls born out of 100 births. Given a sample statistic of 0.55, results in a score that is 1.0 standard deviation above 0. ### Tasks a. **Identify the null hypothesis and the alternative hypothesis.** b. **What is the value of \( \alpha \)?** c. **What is the sample statistic?** Given a sample statistic of 0.55. d. **Is the test two-tailed, left-tailed, or right-tailed?** e. **What is the value of the test statistic?** f. **What is the \( P \)-value?** g. **What is the critical value?** h. **What is the area of the critical region?** --- **Notes:** - The sampling distribution of the sample statistic is assumed to be normally distributed.
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