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

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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:

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

Step 6. Decide and Report

Independents
279
Republicans
Democrats
Successes (Favors Legalization)
150
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.
What type of two-sample hypothesis test should you use?
Transcribed Image Text:Independents 279 Republicans Democrats Successes (Favors Legalization) 150 231 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. What type of two-sample hypothesis test should you use?
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