Question

In June 2015, Gallup conducted a poll of a random sample of 15301 adults to determine the well-being of people living in the United States. One question asked, “Did you exercise at least 30 minutes for 3 or more days in the past week?” In the survey, 55.3% of males and 44.7% of females responded yes to this question. Which of the following is true about this scenario?

1. 55.3% and 44.7% are both parameters.
2. If we took another random sample of 15301 adults, we would expect to get the exact same results.
3. 55.3% and 44.7% are both statistics.

Answer 1

The true statement about this scenario is:

55.3% and 44.7% are both statistics.

Option C is correct.

Answer 2

The correct answer is "55.3% and 44.7% are both statistics."

In statistics, a parameter is a numerical measurement that describes a population, while a statistic is a numerical measurement that describes a sample. In this scenario, the sample consists of the 15,301 adults who were randomly selected to participate in the survey.

The percentages of males and females who responded "yes" to the exercise question are both characteristics of the sample, and therefore they are statistics. They provide an estimate of the proportion of males and females in the population who exercise at least 30 minutes for 3 or more days in the past week, but they are not exact measurements of the population parameters since they are based on a sample rather than the entire population.

It is important to note that if we took another random sample of 15,301 adults, we would not necessarily expect to get the exact same results, but rather we would expect to see some variability in the results due to sampling error.