In an online poll run by a Hong Kong newspaper, 45% of people declared they go to the gym once a week, 25% go two times, 10% go three times, and the rest do not go. The data were collected through telephone interviews with 650 people; 230 answered they do not go to a gym at all, 150 go once a week, 200 go twice a week, and the rest go three times each week.a. Can this be considered to be a multinomial experiment? Which characteristics must it have to be classified as such?b. Would you use a goodness of fit test? Why?c. What conclusions would you gather from it? Do the online results match the phone interviews?d. If not, could you suggest any reasons why they are different?

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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In an online poll run by a Hong Kong newspaper, 45% of people declared they go to the gym once a week, 25% go two times, 10% go three times, and the rest do not go. The data were collected through telephone interviews with 650 people; 230 answered they do not go to a gym at all, 150 go once a week, 200 go twice a week, and the rest go three times each week.
a. Can this be considered to be a multinomial experiment? Which characteristics must it have to be classified as such?
b. Would you use a goodness of fit test? Why?
c. What conclusions would you gather from it? Do the online results match the phone interviews?
d. If not, could you suggest any reasons why they are different?

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