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According to a recent report it was found that 48.7% of residents in Franklin co

ID: 3022010 • Letter: A

Question

According to a recent report it was found that 48.7% of residents in Franklin county Ohio are registered to vote. Which of the following is more likely.

Select one:

We take a random sample of 30 people from this county and find that the proportion is less than 45%

We take a random sample of 50 people from this county and find that the proportion is less than 45%

We take a random sample of 100 people from this county and find that the proportion is less than 45%

We take a random sample of 500 people from this county and find that the proportion is less than 45%

We have no basis for predicting which is more likely to have an proportion less than 45%

Explanation / Answer

The larger the sample size, the less likely it is that the random sample is not in the vicinity of the population proportion.

Hence, we need a small sample, so it is

OPTION A: We take a random sample of 30 people from this county and find that the proportion is less than 45% [ANSWER]

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