Practice Test 3 2023W-1

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Political Science

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Apr 3, 2024

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First Name _____________ Last Name_________________ POLI380 In-Class Test 3: You have 25 minutes to complete this test. Note the point values of the questions as you answer them. Q1 [4 points]. I survey 500 Canadians and asked them to rate “puppies and kittens” on a 0 to 100 feeling thermometer scale. The average rating was 88 and the standard deviation was 25. Fill in the blanks (and show your work) Average ratings of puppies and kittens was 88 and this estimate will be no more than _____ away from the mean in the population 19 times out of 20. Average ratings of puppies and kittens was 88 and this estimate will be no more than _____ away from the mean in the population 99 times out of 100. Q2. [6 points] This is from the 2019 Canadian Election Study. Respondents were asked: “How many of your close friends belong to a visibly different ethnicity than you” Here is a crosstab with position on the friend question and respondents’ generation. In a short paragraph describe the relationship between generation and friendship diversity. Your answer should be accessible to an ‘average Canadian’ who knows very little about statistics. Remember: you shouldn’t report every cell in the table. σ √ n = standard error of sample mean # of Friends from different ethnicity Generation None One 2-5 5+ Baby Boom 49.7% 22.9% 22.4% 5% 100% Gen X 39.2% 22.8% 28% 9% 100% Millennial 34.3% 27.6% 30.7% 7.4% 100% Gen Z 24.8% 32.3% 33.8% 9% 100% 43.3% 23.9% 26% 6.8% 100%

First Name _____________ Last Name_________________ Q3. [5 points] I have data from a survey of students where respondents said whether they answered this question: What’s cooler, having a university president named “Santa” or a university president named “Dr. Bacon”. Overall, 58% of students surveyed picked “Dr. Bacon”. Then I looked at first years and fourth years. 60% of first years picked “DR. Bacon” and 52% of fourth year students picked “Dr. Bacon”. The p-value for this difference is 0.09. Explain what this p-value tells us about the relationship between year of study and choice of ‘cooler name’. Be sure to explain exactly what a p-value tells us.

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