Would you favor spending more federal tax money on the arts? Of a random sample of n₁ = 229 women, r₁ = 54 responded yes. Another random sample of n₂ = 195 men showed that r₂ = 56 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference p₁ p₂. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)