Political parties rely heavily upon polling to measure their support in the electorate. In a country with four major political parties, a poll is conducted and the Coffee Party is supported by 435 of the 1183 randomly selected voters who were polled. (a) Construct and interpret a 98% confidence interval for the true proportion of all voters who support the Coffee Party.(b) The Coffee Party leaders claim that they have the support of 42% of the electorate. Does your interval in part (a) suggest that this claim is plausible? Explain your reasoning.(c) The random sample was actually 1200 people, but 17 people never responded. Could this change your answer to part (b)? Support your answer with a calculation.