Question

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 = 77 politically moderate voters showed that r₂ = 21 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 α = 0.05.

(a) What is the level of significance?

(b) 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.)

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Answer 1

The statistical software output for this problem is :

(a)

level of significance = 0.05

(b)

Test statistics = -0.72

(c)

P-value = 0.7628