Comparing Two Categorical Variables

Question 1

Three car dealerships were surveyed about the number of vehicles that were sold with automatic or manual transmissions. The results are displayed below.

Revolt · Accepted Answer

There is an association because the distribution of purchasing an automatic differs among the dealerships.

Question 2

Customers in a coffee shop were asked if they prefer caffeinated or decaffeinated coffee and if they prefer their coffee with or without milk. The results are displayed below.

Revolt · Accepted Answer

For those who prefer caffeinated coffee, a higher percentage of people prefer it with milk.

Question 3

Several students were selected to participate in a two-question survey. They were asked if they prefer a cat or dog as a pet, and if they prefer soup or salad for lunch. The results are displayed below.

Revolt · Accepted Answer

There is no association because the distribution of lunch preference is approximately the same among the pet groups.

Question 4

Does eating a mint affect a person’s taste buds? To answer this question, students were randomly placed into two groups. One group had to eat a mint, and the other did not. Then all the students were given a cup that had one of two brands of ice tea. Students were asked to guess which brand of ice tea they had. The results are displayed below.

Revolt · Accepted Answer

Students who did not eat a mint were more accurate guessers.

Question 5

Does eating a mint affect a person’s taste buds? To answer this question, students were randomly placed into two groups. One group had to eat a mint, and the other did not. Then all the students were given a cup that had one of two brands of ice tea. Students were asked to guess which brand of ice tea they had. The results are displayed below.

Revolt · Accepted Answer

There is an association because the distribution of correct guesses differs among the mint groups.

Question 6

A group of high school students were surveyed about their handedness and their favorite sport. The results are displayed below.

Revolt · Accepted Answer

There is no association because the distribution of sport preference is approximately the same among the handedness groups.

Question 7

The weekly sales results of three sales teams are displayed below.Based on the graph, is there an association between team sales and the day of the week?

Revolt · Accepted Answer

There is an association because the distribution of team sales differs among the days of the week.

Question 8

A group of high school students were surveyed about their handedness and their favorite sport. The results are displayed below.

Revolt · Accepted Answer

The percentage of people who prefer football is approximately the same for the right- and left-handed groups.

Question 9

In the US, the gear shift for a car with a manual transmission is on the right-hand side of the driver. Does this discourage those who are left-handed from driving a manual transmission car? Several drivers were surveyed about their handedness and the type of transmission they have in their automobile. The results are displayed below.

Revolt · Accepted Answer

There is no association because the distribution of transmission type is the same among the handedness groups.

Question 10

Several students were selected to participate in a two-question survey. They were asked if they prefer a cat or dog as a pet and if they prefer salad or soup for lunch. The results are displayed below.

Revolt · Accepted Answer

The percentage of people who prefer salad for lunch is about the same no matter what their pet preference.

Comparing Two Categorical Variables Answers

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