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: a) Emma 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 once a year. Gabrielle collects data on the average annual interest rate and the number of households that travelled overseas at least once in that year over 7 years. d) It has been proposed that one's education level has a strong relation with one's income level. Heidi collects data from a large group of 38 year-old adults about their education level (primary and lower, secondary, tertiary and higher) and their income level (to the nearest $100). Heidi plans to test this data to see whether the mean income in each education level is the same across all three levels.

Explanation / Answer

b)

Here we have two quantitaive variables and wewant to see there relation ship with third quatitaive variable "number of time they go to dinner outside" so here multiple regresion should be used.

c)

Here regression analysis should be used beucase we want to know the relaitonship between two variables.

d)

Here one way ANOVA should be used beucase we want to compare mean of more than two groups.

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a)

Here wnat to test whether two categorical variables are independent from each other or not. So chi square test is most appropriate.

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