et's simulate three random samples of inhabitants from Juneberry. Press all three "Run" buttons to do so. (You can press "Run" multiple times to generate more samples to see how they vary.)

Question

Sample size:
Number of total
Adults
Children

Sample size:
Number of total
Adults
Children

Sample size:
Number of total
Adults
Children
(b)In part (a), we calculated two different types of percentages: population percentages in the percent bar graph and sample percentages in the simulations.
The child population percentage is the percentage of the Juneberry inhabitants who are children.
The child sample percentage is the percentage of inhabitants who are children in a random sample of inhabitants.
True or false?
Statement True False
In any random sample of Juneberry inhabitants, the child sample percentage is always .

In a random sample of Juneberry inhabitants, the child sample percentage can be equal to the child population percentage.

With a very large sample size, there must be no difference between the child sample percentage and the child population percentage.

Answer 1

Let's analyze the statements regarding the concepts of sample percentages and population percentages.

1. In any random sample of Juneberry inhabitants, the child sample percentage is always [insert value].

   • Answer: False
   • Reason: The child sample percentage can vary from sample to sample due to random variation. It is not fixed and will fluctuate depending on the individuals selected in the sample.

2. In a random sample of Juneberry inhabitants, the child sample percentage can be equal to the child population percentage.

   • Answer: True
   • Reason: While the child sample percentage may vary, it is possible for a random sample to perfectly reflect the population proportion in that sample. However, this is not guaranteed.

3. With a very large sample size, there must be no difference between the child sample percentage and the child population percentage.

   • Answer: False
   • Reason: While larger sample sizes typically lead to more accurate estimates of population parameters (due to reduced sampling error), there is no guarantee that the sample percentage will equal the population percentage. However, the difference is likely to be smaller in larger samples.

In summary:

• The first statement is False.
• The second statement is True.
• The third statement is False.

If you have specific values or additional details about the populations, feel free to share, and I can provide more tailored insights!