Chapter 11.3, Problem 38E

To determine

To find:the sample proportion which is representative of the national percentage.

Answer to Problem 38E

Here, the sample which consists of 200 people is more likely to be representative of national percentage.

Explanation of Solution

Given:

3.2% of U.S adults follow a vegetarian-based diet.

The first sample consist of 20 people.

The second sample consists of 200 people.

Calculation:

The sample which consists of 200 people is more likely to be representative of national percentage.

The reason is that when small sample of 20 people is used to make inference about a large population then there are high chances of the sampling error or bias. On the other hand. a large sample size optimally reduces the error and is more representative of the population.

Conclusion:

Therefore, the sample which consists of 200 people is more likely to be representative of national percentage .