a. In a random sample of 750 adult UK citizens, you find that 16% watch the BBC News every day. What does this tell us about the population proportion of adult UK citizens watching the BBC News every day? Assume alpha is 0.05. (5 marks) b. Your colleague is interested in obtaining an interval estimate of the population proportion of citizens owning a home. Based on an alpha of 0.05 and a planning value of 0.3, they recommend a sample size of 2000. What was their desired margin of error? (5 marks) c. In a large population, 20 percent of the firms have a board of directors while 80 percent do not have a board of directors. If you drew a random sample of 200 firms, then what would be the shape of the sampling distribution of the sample's proportion of firms with a board of directors