a)In a study published in 2001, it is argued that at that time the gender ratio in the occupation of nursing was 8 women to every man. Suppose that in a recent survey a team at Lancaster University found that a random sample of 450 contained 68 men. Would it be justified to conclude that the ratio has changed? Use a significance level of 1% in your analysis.

b) Two independent polls were taken to investigate public opinion with regard to a proposed recreational facility. One was conducted by a polling agency, the other by a local newspaper. The results are given in the table below. Are the two polls homogenous with respect to division of opinion? Use any significance level of your choice but less than 10% in your analysis.