To estimate the percentage of a state's voters who support the current
governor for reelection, three newspapers each survey a simple random
sample of voters. Each paper calculates the percentage of voters in its
sample who support the governor and uses that as an estimate for the
population parameter. Here are the results:
• The Tribune.n=700 voters sampled; sample estimate = 68%
• The Herald. n = 500 voters sampled; sample estimate = 64%
• The Times. n = 300 voters sampled; sample estimate = 78%
All else being equal, which newspaper's estimate is likely to be closest to the
actual percentage of voters who support the governor for reelection?
OA. The Tribune, at 68%
B. The Herald, at 64%
C. The Times, at 78%

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

From this, a larger sample size leads to a smaller error estimate. Since the Tribune had the largest sample size, option A is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

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