Question: A sociologist is interested in the number of children in certain family units and hypothesizes the following proportions: no children – 15%, one child – 24%, two children – 30%, three children – 18%, four children – 8%, and more than four children – 5%. For a random sample of 400 couples, the following results were obtained: no children – 42, one child – 101, two children – 124, three children – 72, four children – 39, and more than four children – 22. Test the validity of the sociologist’s hypothesis at the 0.05 level of significance.