Question
A sample of 250 Canadians were asked: What is your favourite music genre? The poll also asked the respondents to identify their province of birth.
A sample of 250 Canadians were asked: What is your favourite music genre? The poll also asked the respondents to identify their province of birth. The results of this survey are below.
Favorite movie genre
Province of birth Pop Rap Heavy metal Total
Ontario 26 23 11 60
Quebec 19 22 29 70
Other 23 42 55 120
Total 68 87 95 250
1. (1 point) This is an r c table. What is the value of r? Multiple Choice: A) 2 B) 3 C) 4 D) 5
2. (1 point) The proportion of Canadians that chose Pop as their favourite music genre is: Multiple Choice: A) 0.433 B) 0.271 C) 0.192 D) 0.272
3. (2 points) The proportion of Ontarians who chose Rap as their favourite music genre is approximately: Multiple Choice: A) 0.383 B) 0.314 C) 0.350 D) 0.348
4. (2 points) We wish to test the null hypothesis that there is no association between a person's province of birth and favourite music genre. The expected count of Quebec-born Canadians that prefer heavy metal is: Multiple Choice: A) 6650 B) 29 C) 26.6 D) 0.1064
5. (2 points) We wish to test the null hypothesis that there is no association between a person's province of birth and favourite music genre. Find the contribution to the chi-square test statistic (the chi-square value) of the cell [Quebec,Rap]: Multiple Choice: A) 0.2286 B) 0.7954 C) 0.2165 D) 0.5431
6. (2 points) We wish to test the null hypothesis that there is no association between a person's province of birth and favourite music genre. Under the null hypothesis, the degrees of freedom for the Chi-square test statistic are: Multiple Choice: A) 16 B) 9 C) 4 D) 1
7. (2 points) We wish to test the null hypothesis that there is no association between a person's province of birth and favourite music genre. What is the Chi-square and p-value for this test? Multiple Choice: A) 2 statistic = 13.3, p-value is between [0.005, 0.01] B) 2 statistic = 15.3, p-value is between [0.0025, 0.005] C) 2 statistic = 17.3, p-value is between [0.001, 0.0025] D) 2 statistic = 19.3, p-value is between [0.0005, 0.001
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