Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 89 politically conservative voters, r1 = 20 responded yes. Another random sample of n2 = 83 politically moderate voters showed that r2 = 24 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 ? = 0.05. What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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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.