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**Testing Population Proportions** **Objective:** You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \). - \( H_0: p_1 = p_2 \) - \( H_a: p_1 \neq p_2 \) **Sample Information:** - **First Population**: 485 successes and 84 failures - **Second Population**: 459 successes and 99 failures For this test, avoid using the continuity correction and use the normal distribution as an approximation for the binomial distribution. **Tasks:** 1. **Calculate the Test Statistic:** - Find the test statistic for this sample. - Report the answer accurate to three decimal places. - **Test Statistic** = [Input Box] 2. **Determine the p-value:** - Find the p-value for this sample. - Report the answer accurate to four decimal places. - **p-value** = [Input Box] **Decision Making:** - The p-value is: - [ ] less than (or equal to) \( \alpha \) - [ ] greater than \( \alpha \) - This test statistic leads to a decision to: - [ ] Reject the null - [ ] Accept the null - [ ] Fail to reject the null **Conclusion:** Assess which of the following applies: - There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - The sample data support the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proportion.

**Testing Population Proportions** **Objective:** You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \). - \( H_0: p_1 = p_2 \) - \( H_a: p_1 \neq p_2 \) **Sample Information:** - **First Population**: 485 successes and 84 failures - **Second Population**: 459 successes and 99 failures For this test, avoid using the continuity correction and use the normal distribution as an approximation for the binomial distribution. **Tasks:** 1. **Calculate the Test Statistic:** - Find the test statistic for this sample. - Report the answer accurate to three decimal places. - **Test Statistic** = [Input Box] 2. **Determine the p-value:** - Find the p-value for this sample. - Report the answer accurate to four decimal places. - **p-value** = [Input Box] **Decision Making:** - The p-value is: - [ ] less than (or equal to) \( \alpha \) - [ ] greater than \( \alpha \) - This test statistic leads to a decision to: - [ ] Reject the null - [ ] Accept the null - [ ] Fail to reject the null **Conclusion:** Assess which of the following applies: - There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - The sample data support the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proportion.

MATLAB: An Introduction with Applications
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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**Testing Population Proportions** **Objective:** You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \). - \( H_0: p_1 = p_2 \) - \( H_a: p_1 \neq p_2 \) **Sample Information:** - **First Population**: 485 successes and 84 failures - **Second Population**: 459 successes and 99 failures For this test, avoid using the continuity correction and use the normal distribution as an approximation for the binomial distribution. **Tasks:** 1. **Calculate the Test Statistic:** - Find the test statistic for this sample. - Report the answer accurate to three decimal places. - **Test Statistic** = [Input Box] 2. **Determine the p-value:** - Find the p-value for this sample. - Report the answer accurate to four decimal places. - **p-value** = [Input Box] **Decision Making:** - The p-value is: - [ ] less than (or equal to) \( \alpha \) - [ ] greater than \( \alpha \) - This test statistic leads to a decision to: - [ ] Reject the null - [ ] Accept the null - [ ] Fail to reject the null **Conclusion:** Assess which of the following applies: - There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - The sample data support the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proportion.
Transcribed Image Text:**Testing Population Proportions** **Objective:** You wish to test the following claim (\( H_a \)) at a significance level of \( \alpha = 0.002 \). - \( H_0: p_1 = p_2 \) - \( H_a: p_1 \neq p_2 \) **Sample Information:** - **First Population**: 485 successes and 84 failures - **Second Population**: 459 successes and 99 failures For this test, avoid using the continuity correction and use the normal distribution as an approximation for the binomial distribution. **Tasks:** 1. **Calculate the Test Statistic:** - Find the test statistic for this sample. - Report the answer accurate to three decimal places. - **Test Statistic** = [Input Box] 2. **Determine the p-value:** - Find the p-value for this sample. - Report the answer accurate to four decimal places. - **p-value** = [Input Box] **Decision Making:** - The p-value is: - [ ] less than (or equal to) \( \alpha \) - [ ] greater than \( \alpha \) - This test statistic leads to a decision to: - [ ] Reject the null - [ ] Accept the null - [ ] Fail to reject the null **Conclusion:** Assess which of the following applies: - There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proportion. - The sample data support the claim that the first population proportion is not equal to the second population proportion. - There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proportion.
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