Q.9 - The Practice of Statistics for AP

Question

No chi-square A school’s principal wants to know if students spend about the same amount of time on homework each night of the week. She asks a random sample of $50$ students to keep track of their homework time for a week. The following table displays the average amount of time (in minutes) students reported per night:

Explain carefully why it would not be appropriate to perform a chi-square goodness-of-fit test using these data. 

Step-by-Step Solution

Answer

From the given information, You can only apply the chi-square goodness-of-fit test to categorical variables, but the variable is quantitative and thus it is not appropriate to apply the chi-square goodness-of-fit test.

Step 1: Given Information

It is given in the question that,

Step 2: Explanation

The variable of interest here is the average amount of time that can take quantitative values, and the chi-square goodness of fit test is used on the category variable, with quantitative variables. As a result, chi-square goodness of fit cannot be used in this case.