23 Out of an election day sample of 400 individuals who voted in a gubernatorial election. 160 voted for Jones and 240 for Smuth.

a) Assuming this is a random sample of all voters, construct a 99% confidence interval for the proportion of votes that Jones will receive Do you think that Jones will lose the election? Why?

b) Suppose, instead, that the sample size had been 40. of whom 16 voted for Jones Again. find the 99% confidence interval and, if possible. predict the winner How does the result compare to (a)"