Do a larger proportion of university students than young children eat cereal? Researchers surveyed both age groups to find the answer. The results are shown in the table below. (a) State the hypotheses used to answer the question. (b) Using α = 0.05, state the decision rule and sketch it. (c) Find the sample proportions and z statistic. (d) Make a decision. (e) Find the p value and interpret it. (f) Is the normality assumption fulfilled? Explain.
Statistic University Students (ages 18-25) Young Children (ages 6-11)
Number who eat cereal x1 = 833 x2 = 692
Number surveyed n1 = 850 n2 = 740