Question

Good Sample? A geneticist is investigating the proportion of boys born in the world population. Because she is based in China, she obtains sample data from that country. Is the resulting sample proportion a good estimator of the population proportion of boys born worldwide? Why or why not?

Short answer

As the sample is selected only from the population of births from China, the resulting sample proportion of boys is not a good estimator of the population proportion of boys worldwide.

Step-by-step solution

Given information

A sample of births is selected from China, and the sample proportion of boys is obtained.

A geneticist wants to investigate the proportion of boys born worldwide.

Accuracy of the estimator

The sample of births is elected from China and not the population of all births worldwide.

Thus, the above sample is notrepresentative of the population of all births worldwide.

Therefore, the sample proportion of boys in the selected sample will not be a good estimator of the population proportion of boys worldwide as the sample only represents China and not the entire world.