Question

Select whether a chi-square test for association is the most appropriate for the following scenarios: Most appropriate or Not appropriatea) 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. (yes or no)b) Danielle 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. Danielle is interested in knowing whether these two factors are important in determining how often one goes out for dinner. (yes or no)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. Heidi collects data on the average annual interest rate and the number of households that travelled overseas at least once in that year over 6 years. (yes or no)d) It has been proposed that one's education level has a strong relation with one's income level. Barbara 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). Barbara plans to test this data to see whether the mean income in each education level is the same across all three levels. (yes or no)

Answer 1

Answer:

Step-by-step explanation:

For option (A), yes.

The chi-square test for association between two categorical variables is appropriate for this.

For option (B), no.

Danielle's survey wants to HOW OFTEN people eat dinner at a restaurant. The chi-square test for association does not match this. The chi-square test for association would have been suitable if Danielle wanted to know the significance of the association between a certain type of people and a certain restaurant or food.

For option (C), no.

For option (D), yes.