The October 2019 Gallup Poll reported the proportion of Republicans, Independents, and Democrats who favor the legalization of marijuana. Here are the results:Step 1: Test Set-UpStep 2. Select the Level of Significance, αA 5 percent significance level is selected.Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1)H0:H1: Step 4. Compose the Decision RuleStep 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power (Use G*Power)Use G*Power to calculate statistical power. Use these settings:Test family: z testsStatistical test: Proportion: Difference between two independent proportionsType of power analysis: Post hoc: Compute achieved power – given α, sample size and effect sizeStep 6. Decide and Report ### Data on Marijuana Legalization Support by Political Affiliation#### Table: Survey Results on Support for Marijuana Legalization| | Republicans | Independents | Democrats ||---|---|---|---|| **Successes (Favors Legalization)** | 150 | 279 | 231 || **Trials** | 283 | 393 | 308 || **Proportions** | 0.53 | 0.71 | 0.75 |### Research Question:Are Democrats more likely than Independents to favor the legalization of marijuana? This would be a right-tailed test, assuming we place Democrats to the left of Independents in the null and alternate hypotheses.### Hypothesis Testing:- **Type of Test:** What type of two-sample hypothesis test should you use? Information is summarized from survey responses categorized by political affiliation, showing both the number and proportion of individuals who favor marijuana legalization within each group. The main focus is to determine if Democrats have a higher propensity to support legalization compared to Independents through a statistical test.

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Description: The October 2019 Gallup Poll reported the proportion of Republicans, Independents, and Democrats who favor the legalization of marijuana. Here are the results:Step 1: Test Set-UpStep 2. Select the Level of Significance, αA 5 percent significance leve

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The October 2019 Gallup Poll reported the proportion of Republicans, Independents, and Democrats who favor the legalization of marijuana. Here are the results:

Step 1: Test Set-Up

Step 2. Select the Level of Significance, α

A 5 percent significance level is selected.

Step 3. State the Null Hypothesis (H₀) and Alternate Hypothesis (H₁)

H₀:

H₁:

Step 4. Compose the Decision Rule

Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power (Use G*Power)

Use G*Power to calculate statistical power. Use these settings:

Test family: z tests
Statistical test: Proportion: Difference between two independent proportions
Type of power analysis: Post hoc: Compute achieved power – given α, sample size and effect size

Step 6. Decide and Report

### Data on Marijuana Legalization Support by Political Affiliation

#### Table: Survey Results on Support for Marijuana Legalization

| | Republicans | Independents | Democrats |
|---|---|---|---|
| **Successes (Favors Legalization)** | 150 | 279 | 231 |
| **Trials** | 283 | 393 | 308 |
| **Proportions** | 0.53 | 0.71 | 0.75 |

### Research Question:
Are Democrats more likely than Independents to favor the legalization of marijuana? This would be a right-tailed test, assuming we place Democrats to the left of Independents in the null and alternate hypotheses.

### Hypothesis Testing:
- **Type of Test:** What type of two-sample hypothesis test should you use?

Information is summarized from survey responses categorized by political affiliation, showing both the number and proportion of individuals who favor marijuana legalization within each group. The main focus is to determine if Democrats have a higher propensity to support legalization compared to Independents through a statistical test.

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