1. 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.
2. A college board of trustees requests input from faculty members, students, alumni, and off-campus educators regarding a proposed change of academic policy. The response from 50 – member random samples selected from each of the four groups are summarized in the following table:
   FAVOR OPPOSE NEUTRAL
   Faculty Member 34 10 6
   Students 39 8 3
   Alumni 21 22 7
   Off-campus Educ’s 28 18 4
   At the 0.05 level of significance, test the hypothesis that the opinion regarding the change in academic policy is independent of group membership. Reconstruct this data set in SPSS and run Crosstabs to check your hand calculation. Write a brief report of your analysis supporting it with relevant information.
3. A random sample of 75 parents is asked to give their opinions regarding a proposed program of sex education before and after hearing teachers and administrators discuss the curriculum content. Given the following results, determine at the .10 level of significance whether a change of sentiment occurred. Write a brief report of your analysis.

Before Discussion

Favor Oppose

After Discussion Oppose 26 15

Favor 23 11

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