In the survey on which Table D.12 of the Data Bank is based, a larger number of persons was asked to respond to the statement "I would characterize my political beliefs as liberal" on a seven point Likert scale from strongly disagree (1) to strongly agree (7). A count of those who strongly disagree, for each of three age groups, yielded the summary statistics.

(a) Test equality of the proportions for the last two age groups versus a two-sided alternative. Take α = .05.
(b) Test equality of the proportions for the first two age groups versus a two-sided alternative. Take α = .05.
(c) Explain why the large samples test in part (b) is not valid.

Age P 19-24 3 47 0638 25-34 13 64 2031 35-44 14 93 1505