In 2012, Gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both Vermont and Hawaii. From the survey, Vermont had 65.3% who said yes and Hawaii had 62.2% who said yes. What is the value of the population proportion of people from Hawaii who exercised for at least 30 minutes a day 3 days a week? Group of answer choices 0.6375 Unknown 0.653 0.622

The correct option is 0.622.

Step-by-step explanation:

The population parameter is a numerical value of a certain characteristic of the population. For example, the population mean, population variance, population proportion, and so on.

The sample statistic is a numerical value of a certain characteristic of the sample that is selected from the population. For example, the sample mean, sample variance, sample proportion, and so on.

In statistical analysis, the estimator bias is the difference between the true value of the parameter being estimated and the expected value of the parameter. If this difference is 0, then the estimator is known as unbiased.

To remove the biasness, the sample selected should be large enough. Usually in statistics a sample that is large enough is of size, n ≥ 30.

Now, it is provided that 100 samples of respondents are selected from Hawaii and they were asked if they exercised more than 30 minutes a day for three days out of the week.

The survey results were,

Yes = 62.2%

No = 37.8

As the sample selected is quite large, it can be concluded that the sample proportion of people who said "yes" is an unbiased estimator of the population proportion.

So, the population proportion of people from Hawaii who exercised for at least 30 minutes a day 3 days a week is 62.2%.

Thus, the correct option is 0.622.