Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1456 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, -P2. What are the null and alternative hypotheses for the hypothesis test? O C. Ho: P1 = P2 OA. Ho: P1 #P2 H:P1 = P2 O B. Ho: P1 2 P2 H: P1 P2 H4: P1 P2 OF. Ho: P1 SP2 H: P #P2 D. Ho: P1 P2 H: P, #P2 Identify the test statistic. (Round to two decimal places as needed.)

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please help me also find the p value and what the conclusion would be. Thank you!

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1456 of them having the same common attribute. Compare the results from a hypothesis test of \( p_1 = p_2 \) (with a 0.05 significance level) and a 95% confidence interval estimate of \( p_1 - p_2 \).

**What are the null and alternative hypotheses for the hypothesis test?**

- A. \( H_0: p_1 \neq p_2 \)  
  \( H_1: p_1 = p_2 \)

- B. \( H_0: p_1 \geq p_2 \)  
  \( H_1: p_1 \neq p_2 \)

- C. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 < p_2 \)

- **D. \( H_0: p_1 = p_2 \)**  
  **\( H_1: p_1 \neq p_2 \)**

- E. \( H_0: p_1 = p_2 \)  
  \( H_1: p_1 > p_2 \)

- F. \( H_0: p_1 \leq p_2 \)  
  \( H_1: p_1 \neq p_2 \)

*(Option D is selected as the correct choice.)*

**Identify the test statistic.**

*(Round to two decimal places as needed.)*
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 18 having a common attribute. The second sample consists of 2000 people with 1456 of them having the same common attribute. Compare the results from a hypothesis test of \( p_1 = p_2 \) (with a 0.05 significance level) and a 95% confidence interval estimate of \( p_1 - p_2 \). **What are the null and alternative hypotheses for the hypothesis test?** - A. \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) - B. \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - C. \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - **D. \( H_0: p_1 = p_2 \)** **\( H_1: p_1 \neq p_2 \)** - E. \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - F. \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) *(Option D is selected as the correct choice.)* **Identify the test statistic.** *(Round to two decimal places as needed.)*
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