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
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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.)
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**Identify the critical value(s):**
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
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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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