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- What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P12P2 H₁: P₁ #P₂ OD. Ho: P1 P2 H₁: P₁ P2 OB. Ho: P₁ H₁: P₁ P2 P2 OE. Ho: P₁ SP₂ H₁: P1 P2 GEZER OC. Ho: P1 P2 H₁: P₁ P2 OF. 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- What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P12P2 H₁: P₁ #P₂ OD. Ho: P1 P2 H₁: P₁ P2 OB. Ho: P₁ H₁: P₁ P2 P2 OE. Ho: P₁ SP₂ H₁: P1 P2 GEZER OC. Ho: P1 P2 H₁: P₁ P2 OF. Ho: P1 H₁: P₁ P2 P2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Hypothesis Testing Example
Two different simple random samples are drawn from two different populations.
- **First sample**: Consists of 40 people, with 20 having a common attribute.
- **Second sample**: Consists of 2200 people, with 1573 of them having the same common attribute.
**Task**: 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 \( p_1 - p_2 \).
**Question**: What are the null and alternative hypotheses for the hypothesis test?
### Options
A.
- \( H_0: p_1 \leq p_2 \)
- \( H_1: p_1 > p_2 \)
B.
- \( H_0: p_1 \geq p_2 \)
- \( H_1: p_1 < p_2 \)
C.
- \( H_0: p_1 \ne p_2 \)
- \( H_1: p_1 = p_2 \)
D.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 \ne p_2 \)
E.
- \( H_0: p_1 \geq p_2 \)
- \( H_1: p_1 = p_2 \)
F.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 > p_2 \)
Select the correct hypotheses for the test, keeping in mind that the null hypothesis typically states that there is no effect or no difference.
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