A national television network took an exit poll of 1460 votersafter each had cast a vote in a state gubernatorial election. Of?them, 680 said they voted for the RepublicanRepublican candidateand 780 said they voted for the DemocraticDemocratic candidate.Treating the sample as a random sample from the population of all?voters, a 95?% confidence interval for the proportion of all votersvoting for the DemocraticDemocratic candidate was (0.509, 0.560).Suppose the same proportions resulted from n=146146 ?(instead of146?), with counts of 68 and 78?, and that there are only twocandidates. Complete parts a and b below.
a. Does a 95% confidence interval using thesmaller sample size allow you to predict the? winner? Explain.
The 95?% confidence interval for the proportion of all votersvoting for the DemocraticDemocratic candidate is (____, _____). Nowa 95?% confidence interval (does, does not) allow you to predictthe? winner, since this interval (does not include, includes) (0,1,or 0.5).
