Is there a significant difference between the population proportions? State appropriate hypotheses for a significance test to answer this question

Question

As part of the Pew Internet and Americna Life project, researchers surveyed a random sample of 800 teens and a seperate random sample of 400 young adults.For the teens, 79% said that they owned an iPod or MP3 player. For the young adults, this figure was 67%.

Answer 1

p₁ = proportion of teens who own an iPod or MP3 player

p₂ = proportion of young adults who own an iPod or MP3 player 

 

H₀: p₁ = p₂ 

H_a: p₁ ≠ p₂