Question

A 2001 harris poll of 1011 randomly selected american adults found that 25% were cigarette smokers. a sample of the same size in 1983 found that 30% were cigarette smokers. write the hypotheses for a significance test to determine whether there was a significantly higher proportion of cigarette smokers in 1983 than in 2001.

Answer 1

Let p1 be the proportion of American adults that were cigarette smokers in 2001
Let p2 be the proportion of American adults that were cigarette smokers in 1983

h0= p1= p2 (The null hypothesis assumes that there is no difference in the proportion of American adults that were cigarette smokers in 2001 and 1983. 

ha= p1 < p2 (The alternative hypothesis assumes that the proportion of American adults that were cigarette smokers in 1983 is higher than those in 2001.)