According to a recent report it was found that 503 of reside

According to a recent report, it was found that 50.3% of residents in Cuyahoga county Ohio are registered to vote. Which of the following is more likely?

Select one:

We take a random sample of 10 people from this county and find that the proportion is over 55%

We take a random sample of 200 people from this county and find that the proportion is over 55%

We take a random sample of 500 people from this county and find that the proportion is over 55%

We take a random sample of 1000 people from this county and find that the proportion is over 55%

We have no basis for predicting which is more likely to have an proportion over 55%

Solution

55% is of some distance from 50.3%. Note that the sample proportion is more likely to be far from the population proportion for SMALLER SAMPLES.

Hence, we need a small sample, which is

OPTION A: We take a random sample of 10 people from this county and find that the proportion is over 55% [ANSWER]