From its founding through 2015, the Rock and Roll Hall of Fame has inducted 303 groups or individuals, and 206 of the inductees have been performers while the rest have been related to the world of music in some way other than as a performer. The full dataset is available in Rock and Roll-2e (Performer-2015). (Note: the data set is pre-loaded into the Sampling Distributions for Proportions in Statkey.)

a. What proportion of all inductees have been performers?

b. What is the correct notation for the proportion in 1a?

c. Use Statkey to generate a sampling distribution of sample proportions (at least 1000 samples) for samples of size n=10.

i. If you were given only this sample distribution and didn't know the population values what would you give as an estimate of the parameter, p = the proportion of all inductees that are performers?

ii. What are the smallest and largest sample proportions?

iii. What is the Standard error of the sampling distribution when n = 10