An institute conducted a clinical trial of its methods for gender selection. The results showed that 173 of 316 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy Let p denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihodd of a bøy. What are the null and alternative hypotheses? CA. Họ p=0.5 H, p> 0 5 OB. Ho p=0.5 H p 0.5 O C. Họ p= 05 H.. p20.5 O D. Ho p>0.5 Hp=0.5

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**Title: Analyzing Gender Selection Methods Using the Sign Test**

An institute conducted a clinical trial of its methods for gender selection. The results showed that 173 of 316 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy.

**Objective:** 
Let \( p \) denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses?

**Hypotheses:**

- A: 
  - \( H_0: p = 0.5 \)
  - \( H_1: p > 0.5 \)

- B: 
  - \( H_0: p = 0.5 \)
  - \( H_1: p \neq 0.5 \)

- C: 
  - \( H_0: p = 0.5 \)
  - \( H_1: p \leq 0.5 \)

- D: 
  - \( H_0: p > 0.5 \)
  - \( H_1: p = 0.5 \)

**Task:**
Find the test statistic.

**Instructions:**
Test statistic = [Enter value] (Round to two decimal places as needed.)

Enter your answer in the answer box and then click Check Answer.

**Note:** You have 2 parts remaining. Use the interface to input your response and verify your answer.
Transcribed Image Text:**Title: Analyzing Gender Selection Methods Using the Sign Test** An institute conducted a clinical trial of its methods for gender selection. The results showed that 173 of 316 babies born to parents using a specific gender-selection method were boys. Use the sign test and a 0.05 significance level to test the claim that the method has no effect on the likelihood of a boy. **Objective:** Let \( p \) denote the population proportion of baby boys. Ignore the possibility of the method decreasing the likelihood of a boy. What are the null and alternative hypotheses? **Hypotheses:** - A: - \( H_0: p = 0.5 \) - \( H_1: p > 0.5 \) - B: - \( H_0: p = 0.5 \) - \( H_1: p \neq 0.5 \) - C: - \( H_0: p = 0.5 \) - \( H_1: p \leq 0.5 \) - D: - \( H_0: p > 0.5 \) - \( H_1: p = 0.5 \) **Task:** Find the test statistic. **Instructions:** Test statistic = [Enter value] (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. **Note:** You have 2 parts remaining. Use the interface to input your response and verify your answer.
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