Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 2200 people with 1573 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P2 (with a 0.05 significance level) and a 95% confidence interval estimate of P₁-P2- OA. Ho: P12P2 H₁: P₁ P2 D. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. -2.97 (Round to two decimal places as needed.) Identify the critical value(s). B. Ho: P₁ P2 H₁: P₁ P2 E Ho: P1 SP2 H₁ P₁ P2 (Round to three decimal places as needed. Use a comma to separate answers as needed.) Ho: D17 D2 H₁: P₁ P2 Ho: P1 H₁: P₁ P2 P2

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Statistical Analysis of Two Population Proportions**

Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 2200 people with 1573 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 \( p_1 - p_2 \).

**Options:**

A. 
- \( H_0: p_1 \geq p_2 \)
- \( H_1: p_1 < p_2 \)

B. 
- \( H_0: p_1 \leq p_2 \)
- \( H_1: p_1 > p_2 \)

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

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

*Correct Option Selected: D*

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**Identify the test statistic:**

\( 2.97 \) 

(Round to two decimal places as needed.)

---

**Identify the critical value(s):**

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

---

This exercise involves conducting a hypothesis test on two population proportions, \( p_1 \) and \( p_2 \), with a given significance level of 0.05. A test statistic has been calculated as 2.97, which will be compared to critical values to make a decision about the null hypothesis.
Transcribed Image Text:Transcription of Text for Educational Website: --- **Statistical Analysis of Two Population Proportions** Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 2200 people with 1573 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 \( p_1 - p_2 \). **Options:** A. - \( H_0: p_1 \geq p_2 \) - \( H_1: p_1 < p_2 \) B. - \( H_0: p_1 \leq p_2 \) - \( H_1: p_1 > p_2 \) C. - \( H_0: p_1 = p_2 \) - \( H_1: p_1 \neq p_2 \) D. - \( H_0: p_1 = p_2 \) - \( H_1: p_1 \neq p_2 \) *Correct Option Selected: D* --- **Identify the test statistic:** \( 2.97 \) (Round to two decimal places as needed.) --- **Identify the critical value(s):** (Round to three decimal places as needed. Use a comma to separate answers as needed.) --- This exercise involves conducting a hypothesis test on two population proportions, \( p_1 \) and \( p_2 \), with a given significance level of 0.05. A test statistic has been calculated as 2.97, which will be compared to critical values to make a decision about the null hypothesis.
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