A local entrepreneur would like to know if those who live in a rural community are more likely to buy a real Christmas tree than those who live in an urban community. He takes a random sample of 100 people who reside in the city and a separate random sample of 100 people who live in the country and asks them if they buy a real tree at Christmas time. Of the urban participants, 22 buy a real tree. Of the rural participants, 28 buy a real tree. Let P1= the proportion of all people who live in rural communities and buy a real Christmas tree, and let P2 = the proportion of all people who live in urban communities and buy a real Christmas tree. State the null and alternative hypotheses:
a) H0: P1 = P2, Ha: P1 ≠ P2
b) H0: P1 = P2, Ha: P1 > P2
c) H0: P1 > P2, Ha: P1 = P2
d) H0: P1 < P2, Ha: P1 = P2
