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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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