Apolitical interest group wants to determine what fraction p ∈ (0, 1) of the population intends to vote for candidate a in the next election. 1000 randomly chosen individuals are polled. 457 of these indicate that they intend to vote for candidate a. find the 95% confidence interval for the true fraction p.

95% confidence interval for the true fraction p is (0.426, 0.488)

Step-by-step explanation:

Confidence Interval can be calculated using p±ME where

p is the sample proportion (ME is the margin of error from the mean

and margin of error (ME) around the mean can be found using the formula

ME= where

z is the corresponding statistic in 95% confidence level (1.96)p is the sample proportion (0.457)N is the sample size (1000)

then ME= ≈ 0.031

Then 95% confidence interval would be 0.457±0.031 or (0.426, 0.488)

The graphs are not typed

I'm sure the answer is a