Question

Suppose a group of marketing students have decided to compare the use of humor in television ads in the United Kingdom and the United States as part of a group project. Suppose they find that in a random sample of 400 United Kingdom television ads 142 use humor. In a sample of 500 television ads in the United States, 122 use humor. Test at the 0.05 signficiance level to see if there is a difference in the population proportion of United Kingdom and United States ads that use humor. State your hypotheses. Explain your findings.

Answer 1

Solution:

Given that,

n₁ = 400, x₁ = 142

n₂ = 500 , x₂ = 422

= 0.05

Let p₁ : the population proportion of United Kingdom

p₂ : the population proportion of United States

Claim: if there is a difference in the population proportion of United Kingdom and United States

i.e.  p₁    p₂

So ,the null and alternative hypothesis can be written as

H₀ : p₁ = p₂

H₁ : p₁    p₂