For some population, the proportion of subjects in a particular class is 40%. Considering the sampling distribution of p, answer the following: a) What percentage of samples of size n=600 would you expect to have a sample proportion less than 35%. Since SD(p)=sqrt(0.4*0.6/600)=sqrt(0.0004)=0.02 then z=(0.35-0.40)/0.02=-0.05/0.02=-2.5. Hence 0.62% of samples of size 600 would result in sample proportions less than 35%. b) What percentage of samples of size n=100 would you expect to have a sample proportion greater than 40%. Since the mean of the sample proportions is 40%, you would expect 50% of samples to result in a sample proportion greater than 40%.