MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
Republicans
150
Independents
279
Democrats
Successes (Favors Legalization)
Trials
Proportions
231
283
393
0.71
308
0.75
0.53
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?
Step 2. Select the Level of Significance, a
A 5 percent significance level is selected.
Step 3. State the Null Hypothesis (H,) and Alternate Hypothesis (H,)
H,:
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 a, sample size and
effect size
Step 6. Decide and Report
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Transcribed Image Text: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 Republicans 150 Independents 279 Democrats Successes (Favors Legalization) Trials Proportions 231 283 393 0.71 308 0.75 0.53 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? Step 2. Select the Level of Significance, a A 5 percent significance level is selected. Step 3. State the Null Hypothesis (H,) and Alternate Hypothesis (H,) H,: 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 a, sample size and effect size Step 6. Decide and Report
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