2.Sampling Dist'n for the proportion of performers in the Rock and Roll Hall of Fame.The dataset for the previous problem isRockandRoll-2e.It includes the entire population of interest. You don't need the dataset here, since all the information you need to do that problem and this problem was given to you there.

Note: There are three screenshots of StatKey output required for this problem, one for each sampling distribution you create.

a.Create sampling distributions for the proportion of performers in the population of all Rock and Roll Hall of Fame members from its founding through 2015.Create distribution for each of the following sample sizes. Complete the table with your results and be sure to capture the screenshot for each before clearing your graph.

Sample Size

Standard Error

Sample proportion farthest from the population proportion ofp=0.68

How far away is this sample proportion from the population proportion

ofp= 0.68?

n = 10

n = 20

n = 50

b.How does increasing the sample size affect the accuracy of using a sample proportion to estimate the population proportion? Use the information from your table from part (a).