In which of the following situations should chi-square Test for Independence be used?
Select the correct answer below:
A. We flip a coin 20 times, and record the outcomes. We want to test if this is a fair coin (meaning it has a binomial distribution).
B. A sample of 142 households in a town was taken. 40 reported to own a vehicle that can hold more than 4 people, while the other 102 reported they own a vehicle that can hold 4 people or less. The households were also surveyed about whether they had children or not. Does owning a vehicle that can hold more than 4 people also mean that you have children in the household?
C. A study recorded that the waiting times for the city buses have a certain distribution. Transportation employees want to test if this distribution is different from the waiting times for different city subway lines.
D. Suppose a math instructor believes that the distribution of the scores of her ninth-grade Algebra students from last year have the same distribution as the scores of her ninth-grade Algebra students this year.