Question

a random sample of 150 people in a large city was selected. they were each asked their age and whether they are going to the concert being held tonight. the responses are displayed in the table.
the organizer for the concert would like to know if these data provide convincing evidence of a relationship between age and whether they are going to tonights concert in the population of all people from the city. what is the appropriate inference procedure?
chi - square test for goodness of fit because the data come from one random sample
chi - square test for homogeneity because the data come from independent random samples
chi - square test for association/independence because the data come from one random sample
chi - square test for association/independence because the data come from independent random samples

Explanation:

The chi - square test for association/independence is used to determine if there is a relationship between two categorical variables (age and concert attendance in this case). Here, we have one random sample, and we want to check the association between the two variables. The chi - square test for goodness of fit is used to compare an observed distribution with an expected distribution for a single categorical variable. The chi - square test for homogeneity is used when we have multiple independent samples and want to compare the distribution of a categorical variable across those samples.

Answer:

chi - square test for association/independence because the data come from one random sample