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A national television network took an exit poll of 1460 voters after each had cast a...

A national television network took an exit poll of 1460 voters after each had cast a vote in a state gubernatorial election. Of​ them, 680 said they voted for the RepublicanRepublican candidate and 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 voters voting for the DemocraticDemocratic candidate was (0.509, 0.560). Suppose the same proportions resulted from n=146146 ​(instead of 146​), with counts of 68 and 78​, and that there are only two candidates. Complete parts a and b below.

a. Does a 95% confidence interval using the smaller sample size allow you to predict the​ winner? Explain.

The 95​% confidence interval for the proportion of all voters voting for the DemocraticDemocratic candidate is (____, _____). Now a 95​% confidence interval (does, does not) allow you to predict the​ winner, since this interval (does not include, includes) (0,1, or 0.5).

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