Question 8.45

8.45 Increase student fees?

You have been asked to survey students at a large college to determine the proportion that favor an increase in student fees to support an expansion of the student newspaper. Each student will be asked whether he or she is in favor of the proposed increase. Using records provided by the registrar, you can select a random sample of students from the college. After careful consideration of your resources, you decide that it is reasonable to conduct a study with a sample of 200 students.

  1. Construct a table of the margins of error for 95% confidence when takes the values 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, and 0.9.
  2. Make a graph of margin of error versus the value of .

8.45

(a) For 0.1: 0.0416. For 0.2: 0.0554. For 0.3: 0.0635. For 0.4: 0.0679. For 0.5: 0.0693. For 0.6: 0.0679. For 0.7: 0.0635. For 0.8: 0.0554. For 0.9: 0.0416.