Select whether a chi-square test for association is the most appropriate for the

Question

Select whether a chi-square test for association is the most appropriate for the following scenarios: Most Not appropriate appropriate a) Fiona wishes to know whether gender has any relation with whether one prefers wine, beer, or liqueur. She surveys a group of men and women and records the number of participants who prefer wine, the number who prefer beer and the number who prefer liqueur b) Emma surveys a group of people on how often they eat dinner at restaurants and diners. The age and annual income of each participant are recorded. Emma is interested in knowing whether these two factors are important in determining how often one goes out for dinner. c) A study intends to determine whether the average annual interest rate has any relation with the number of households who go overseas on a holiday at least onceO a year. Angela collects data on the average annual interest rate and the number of households that travelled overseas at least once in that year over 10 years. d) It has been proposed that one's education level has a strong relation with one's income level. Emma collects data from a large group of 26 year-old adults about their education level (primary and lower, secondary, tertiary and higher) and their income level (to the nearest $100). Emma plans to test this data to see whether the mean income in each education level is the same across all three levels.

Explanation / Answer

a) Ans: Chi-square test is most appropriate.

b) Ans: Chi- square test is not appropriate ( Better to use linear regression)

c) Ans: Chi- square test is not appropriate ( Better to use logistric regresssion)

d) Ans: Chi- square test is not appropriate ( Better to use ANOVA)

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