Chapter 4.3, Problem 94E

(a)

To determine

To explain will the researcher’s sample result be exactly the same as the true population proportion or not.

Answer to Problem 94E

No.

Explanation of Solution

The sample result will not be exactly the same as the true population proportion because we are taking the proportion of a sample and while a sample may provide a good estimate for the true population proportion, there is no way for it to completely accurately predict the true population proportion.

(b)

To determine

To explain which would be likely to produce a sample result more closely to the true population value: an SRS of $50$ students or an SRS of $100$ students.

Answer to Problem 94E

An SRS of $100$ students.

Explanation of Solution

An SRS of $100$ students will be likely to produce a sample result more closely to the true population value because a larger sample size always reduces any potential variability that can be produced in a smaller sample size. Thus, it will give better result.