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A political campaign is interested in whether city 1 has more support for raising the minimum wage than city 2. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 453 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 535 supported raising the minimum wage. What type of hypothesis test should be performed? Select P1 = P2 Test statistic = p-value = Does sufficient evidence exist to support the claim that the level of support in city 1 is higher than that of city 2 at the a = 0.1 significance level? Select v

A political campaign is interested in whether city 1 has more support for raising the minimum wage than city 2. Polls were conducted in the two largest cities in the state about raising the minimum wage. In city 1, a poll of 800 randomly selected voters found that 453 supported raising the minimum wage. In city 2, a poll of 1000 randomly selected voters found that 535 supported raising the minimum wage. What type of hypothesis test should be performed? Select P1 = P2 Test statistic = p-value = Does sufficient evidence exist to support the claim that the level of support in city 1 is higher than that of city 2 at the a = 0.1 significance level? Select v

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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**Question: What type of hypothesis test should be performed?** - Right-tailed Z test - Left-tailed Z test - Left-tailed T test - Two-tailed Z test This question explores the different types of hypothesis tests that can be used in statistical analysis, considering one-tailed and two-tailed tests for both Z and T distributions.
Transcribed Image Text:**Question: What type of hypothesis test should be performed?** - Right-tailed Z test - Left-tailed Z test - Left-tailed T test - Two-tailed Z test This question explores the different types of hypothesis tests that can be used in statistical analysis, considering one-tailed and two-tailed tests for both Z and T distributions.
**Hypothesis Testing for Support of Raising Minimum Wage** A political campaign is examining whether City 1 has more support for raising the minimum wage than City 2. Polls were conducted in the two largest cities in the state regarding this issue: - **City 1:** Out of 800 randomly selected voters, 453 supported raising the minimum wage. - **City 2:** Out of 1000 randomly selected voters, 535 supported raising the minimum wage. **Objective** Determine which type of hypothesis test should be conducted to assess if there is stronger support in City 1 compared to City 2. **Hypothesis Test Setup** 1. **Type of hypothesis test**: Select the appropriate hypothesis test for comparing proportions between two independent groups. 2. **Sample Proportions** - City 1 proportion (\( \hat{p}_1 \)): Calculate using the formula \( \hat{p}_1 = \frac{\text{Number of supporters in City 1}}{\text{Total surveyed in City 1}} \) - City 2 proportion (\( \hat{p}_2 \)): Calculate using the formula \( \hat{p}_2 = \frac{\text{Number of supporters in City 2}}{\text{Total surveyed in City 2}} \) 3. **Pooled Proportion (\( \hat{p} \))** - Calculate using the formula: \( \hat{p} = \frac{\text{Total supporters in both cities}}{\text{Total surveyed in both cities}} \) 4. **Test Statistic** - Compute using the appropriate formula for hypothesis testing of two proportions. 5. **p-value** - Determine the probability of observing the test statistic under the null hypothesis. **Conclusion** Based on the calculated test statistic and p-value, decide if there is sufficient evidence to claim that support is higher in City 1 compared to City 2 at the 0.1 significance level. Select the appropriate conclusion based on statistical analysis.
Transcribed Image Text:**Hypothesis Testing for Support of Raising Minimum Wage** A political campaign is examining whether City 1 has more support for raising the minimum wage than City 2. Polls were conducted in the two largest cities in the state regarding this issue: - **City 1:** Out of 800 randomly selected voters, 453 supported raising the minimum wage. - **City 2:** Out of 1000 randomly selected voters, 535 supported raising the minimum wage. **Objective** Determine which type of hypothesis test should be conducted to assess if there is stronger support in City 1 compared to City 2. **Hypothesis Test Setup** 1. **Type of hypothesis test**: Select the appropriate hypothesis test for comparing proportions between two independent groups. 2. **Sample Proportions** - City 1 proportion (\( \hat{p}_1 \)): Calculate using the formula \( \hat{p}_1 = \frac{\text{Number of supporters in City 1}}{\text{Total surveyed in City 1}} \) - City 2 proportion (\( \hat{p}_2 \)): Calculate using the formula \( \hat{p}_2 = \frac{\text{Number of supporters in City 2}}{\text{Total surveyed in City 2}} \) 3. **Pooled Proportion (\( \hat{p} \))** - Calculate using the formula: \( \hat{p} = \frac{\text{Total supporters in both cities}}{\text{Total surveyed in both cities}} \) 4. **Test Statistic** - Compute using the appropriate formula for hypothesis testing of two proportions. 5. **p-value** - Determine the probability of observing the test statistic under the null hypothesis. **Conclusion** Based on the calculated test statistic and p-value, decide if there is sufficient evidence to claim that support is higher in City 1 compared to City 2 at the 0.1 significance level. Select the appropriate conclusion based on statistical analysis.
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