Question

A nationwide poll of 1250 likely voters by the Public Policy Polling group indicated that 48% are in favor of passing Amendment 1 to the North Carolina State Constitution.

1. Find a 95% confidence interval for the proportion of all likely votes that would vote in favor of Amendment 1. Interpret this interval.

2. Based on this sample is it still REASONABLY possible that Amendment one would not pass? Explain your conclusions.

Answer 1

Answer:

Given Data

n = 1250

p = 0.48

q = 0.52

a) Find a 95% confidence interval for the proportion of all likely votes that would vote in favour of Amendment 1.

0.4523 , 0.5077

b) Based on this sample is it still REASONABLY possible .

Here , the sample proportion lies in the 95% of the confidence interval

it is reasonably possible that the Amendment would pass.

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