Question

Do you prefer paintings in which the people are fully clothed? This question was asked by a professional survey group on behalf of a national arts organization. A random sample of n₁ = 55 people who are conservative voters showed that r₁ = 43 said yes. Another random sample of n₂ = 61 people who are liberal voters showed that r₂ = 38 said yes. Does this indicate that the population proportion of conservative voters who prefer art with fully clothed people is higher? 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 = 1.86

(c)

P-value = 0.0313