riple Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common with 1480 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p₁ - P₂. Identify the test statistic. (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.) 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, #P₂.
riple Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common with 1480 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p₁ - P₂. Identify the test statistic. (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.) 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, #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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![Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 2100 people with 1480 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 \( p_1 - p_2 \).
- The test statistic is [Blank 1] the critical region, so [Blank 2] the null hypothesis. There is [Blank 3] evidence to conclude that \( p_1 \neq p_2 \).
- The 99% confidence interval is [Blank 4] < \( (p_1 - p_2) \) < [Blank 5]. (Round to three decimal places as needed.)
- What is the conclusion based on the confidence interval?
- Since 0 is [Blank 6] in the interval, it indicates to [Blank 7] the null hypothesis.
- How do the results from the hypothesis test and the confidence interval compare?
- The results are [Blank 8], since the hypothesis test suggests that \( p_1 [Blank 9] p_2 \), and the confidence interval suggests that \( p_1 [Blank 10] p_2 \).
Note: The blanks would typically be filled in with specific values or conclusions based on the analysis performed on the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F381c88fc-86c8-43b0-81f2-55a4fcd1abcd%2F5416204f-f333-4b3e-821f-6f252dab01ef%2Fgo8ehvd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 2100 people with 1480 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 \( p_1 - p_2 \).
- The test statistic is [Blank 1] the critical region, so [Blank 2] the null hypothesis. There is [Blank 3] evidence to conclude that \( p_1 \neq p_2 \).
- The 99% confidence interval is [Blank 4] < \( (p_1 - p_2) \) < [Blank 5]. (Round to three decimal places as needed.)
- What is the conclusion based on the confidence interval?
- Since 0 is [Blank 6] in the interval, it indicates to [Blank 7] the null hypothesis.
- How do the results from the hypothesis test and the confidence interval compare?
- The results are [Blank 8], since the hypothesis test suggests that \( p_1 [Blank 9] p_2 \), and the confidence interval suggests that \( p_1 [Blank 10] p_2 \).
Note: The blanks would typically be filled in with specific values or conclusions based on the analysis performed on the data.
![**Comparing Two Population Proportions**
Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 2100 people with 1480 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 \( p_1 - p_2 \).
**Instructions:**
1. **Identify the Test Statistic:**
(Round to two decimal places as needed.)
2. **Identify the Critical Value(s):**
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
3. **Conclusion Based on the Hypothesis Test:**
- The test statistic is [drop-down menu] the critical region, so [drop-down menu] the null hypothesis. There is [drop-down menu] evidence to conclude that \( p_1 \neq p_2 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F381c88fc-86c8-43b0-81f2-55a4fcd1abcd%2F5416204f-f333-4b3e-821f-6f252dab01ef%2Fyhwdh0bj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Comparing Two Population Proportions**
Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 11 having a common attribute. The second sample consists of 2100 people with 1480 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 \( p_1 - p_2 \).
**Instructions:**
1. **Identify the Test Statistic:**
(Round to two decimal places as needed.)
2. **Identify the Critical Value(s):**
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
3. **Conclusion Based on the Hypothesis Test:**
- The test statistic is [drop-down menu] the critical region, so [drop-down menu] the null hypothesis. There is [drop-down menu] evidence to conclude that \( p_1 \neq p_2 \).
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