Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p, (with a 0.01 significance level) and a 99% confidence interval estimate of p, -p2. O A. Hg: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H4: P1 > P2 OF. Ho: P1 = P2 O D. Ho: P1 2 P2 H1: P1 +P2 O E. Ho: P1 = P2 H1: P1 +P2 H1: P1
Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p, (with a 0.01 significance level) and a 99% confidence interval estimate of p, -p2. O A. Hg: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H4: P1 > P2 OF. Ho: P1 = P2 O D. Ho: P1 2 P2 H1: P1 +P2 O E. Ho: P1 = P2 H1: P1 +P2 H1: P1
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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Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of \( p_1 = p_2 \) (with a 0.01 significance level) and a 99% confidence interval estimate of \( p_1 - p_2 \).
**Options for Hypotheses:**
- **A.** \( H_0: p_1 \leq p_2 \)
\( H_1: p_1 \neq p_2 \)
- **B.** \( H_0: p_1 \neq p_2 \)
\( H_1: p_1 = p_2 \)
- **C.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \)
- **D.** \( H_0: p_1 \geq p_2 \)
\( H_1: p_1 \neq p_2 \)
- **E.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 \neq p_2 \)
- **F.** \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
**Identify the test statistic.**
(Enter the value and round to two decimal places as needed.)
**Identify the critical value(s).**
(Enter the value(s) and round to three decimal places as needed. Use a comma to separate answers if needed.)
**Conclusions:**
1. What is the conclusion based on the hypothesis test?
- The test statistic is _____ the critical region, so _____ the null hypothesis. There is _____ evidence to conclude that \( p_1 \neq p_2 \).
2. What is the conclusion based on the confidence interval?
- The 99% confidence interval is \( < (p_1 - p_2) < \) _____ (Round to three decimal places as needed.)
- Since 0 is _____ in the interval, it indicates to _____ the null hypothesis.
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