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Display 10.14, repeated from Chapter 7, gives the distribution of the number of children per family in the United States.

Suppose you want to determine whether the distribution of the number of children in the families of statistics students is consistent with the distribution for families nationwide. Record the number of children in the family of each student in your statistics class. (If you are unable to do this, use the table in Display 10.15, on the next page.) Assume that your class can be considered a random sample of all statistics students.

a. Do these data satisfy the conditions for a chi-square goodness-of-fit test?

b. When expected frequencies aren’t large enough, investigators sometimes collapse several categories into one category. Do that with these data and finish the test.