Chapter 10.3, Problem 8P

Art Funding: Politics Would you favor spending more federal tax money on the arts? This question was asked by a research group on behalf of The National Institute (Reference: Painting by Numbers. J. Wypijewski. University of California Press). Of a random sample of $n_1=93$ politically conservative voters, $r_1=21$ responded yes. Another random sample of $n_2=83$ politically moderate voters showed that $r_2=22$ responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use $\alpha =0.05$.