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Practice Problems Testing for Independence

Practice Problems Testing for Independence

Q Exercise 1 A CBS News poll asked a random sample of 1025 Americans how they identified themselves politically and whether they thought the news media was too liberal. The results of this poll are summarized in the table below. (a) Is a person’s response to this question independent of their political identification? Use ? = 0.05. (b) Based on this result, does a person’s response to this question depend on how they identify themselves politically? Exercise 2 In a recent Gallup poll, a random sample of 1014 adults nationwide were asked “How often do you worry about your weight?” and “How would you describe your own personal weight situation?”. The poll results are presented in the table below. (a) Is how often a person worries about their weight independent of how they describe their own personal weight situation? (b) Based on this conclusion, does a person’s personal weight situation affect how often they worry about their weight? Exercise 3 A health club manager was interested in whether gender is related to the number of days per week that its members utilize the club’s facilities. A random sample of 300 members of this health club was selected, and a report of these members’ activity over the past week was generated using the health club’s information management system. The following results were obtained. (a) Is there enough evidence, at the 5% level of significance, to conclude that the number of days per week a member utilizes the health club’s facilities is independent of their gender? (b) Based on this result, what should the health club manager conclude about the relationship between gender and the number of days per week that its members utilize the club’s facilities? Exercise 4 A music industry marketing firm asked a random sample of 150 consumers if they have purchased any music from an online music store in the last year. The results, grouped by age, are displayed in the following table. (a) Is purchasing music online independent of the consumer’s age? Use ? = 5%. (b) Based on this result, what should the music industry marketing firm report about the association between purchasing music online and the consumer’s age? PreviousNext

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1. A) It is not independent. P-value is less then .05 2. B) It does not depend how they identify. 2. A) It is not independent. P-value is less than .05 3. B) Yes, a person’s personal weight does affect how much they worry about their weight.