Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 226 women, r1 = 51 responded yes. Another random sample of n2 = 195 men showed that r2 = 52 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 α = 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.) test statistic          critical value ±   P-value

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.