Question 4 (12 marks total) Survey Refusals and Age Bracket. A study of people w
ID: 3058032 • Letter: Q
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Question 4 (12 marks total) Survey Refusals and Age Bracket. A study of people who refused to answer survey questions provided the randomly selected sample data shown in the table below: Total 1,049 156 1,205 18-29 30-49 381 49 430 50 and Over 340 Refused Total 31 76 359 416 Source: Based on data from "I Hear You Knocking but You Can't Come In" by Fitzgerald and Fuller, Sociological Methods and Research, Vol 11, No.1. If one of the 1,205 people is randomly selected, what is the probability that the a. person: i. Refused and was aged 50 and over? (2 marks) i. Refused or was aged 50 and over (or both)? (2 marks) iii. Refused given that the person was aged 50 and over? (2 marks) b. Using the data, test the claim that the cooperation of the subject (response or refusal) is independent of the age category by performing a Chi-Square test. State the null and alternative hypotheses, give the chi-square value, degrees of freedom, p-value and state conclusion about the hypotheses. (6 marks)Explanation / Answer
Question 4 (12 marks total) Survey Refusals and Age Bracket. A study of people who refused to answer survey questions provided the randomly selected sample data shown in the table below: Total 1,049 156 1,205 18-29 30-49 381 49 430 50 and Over 340 Refused Total 31 76 359 416 Source: Based on data from "I Hear You Knocking but You Can't Come In" by Fitzgerald and Fuller, Sociological Methods and Research, Vol 11, No.1. If one of the 1,205 people is randomly selected, what is the probability that the a. person: i. Refused and was aged 50 and over? (2 marks) i. Refused or was aged 50 and over (or both)? (2 marks) iii. Refused given that the person was aged 50 and over? (2 marks) b. Using the data, test the claim that the cooperation of the subject (response or refusal) is independent of the age category by performing a Chi-Square test. State the null and alternative hypotheses, give the chi-square value, degrees of freedom, p-value and state conclusion about the hypotheses. (6 marks)
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