Stats and Probability

31. In a survey to estimate the proportion of Canadians favouring the introduction of a new federal law, a random sample of 400 Canadians resulted in 236 in favour of the introduction of the new law. a) Find a 90% confidence interval estimate for the true proportion of Canadians favouring the introduction of the law. b) What is the interpretation of the confidence interval in (a)? C) How large a sample would have to be taken to estimate the proportion favouring the new law to within 0.05 with 94% confidence? d) Based on your confidence interval in part (a), could you conclude at level of significance 0.10 that the true proportion of Canadians in favour of the introduction of the new law differed from 0.5? Explain