From a July 2019 survey of 889 randomly selected American households, it was discovered that 725 of them have an Amazon Prime membership.

a) Write one sentence each to check the three conditions of the Central Limit Theorem.Show your work for the mathematical check needed to show a large sample size was taken.

f) Write long-run interpretation for your confidence interval method in context in one sentence.Think about what happened above when you took many, many samples.

b) 99% confidence interval results: Proportion Count Total Sample Std. Err. L. Limit U. Limit Prop. 725 889 0.81552306 0.013008831 0.78201453 0.84903159 c) Interpret the confidence interval in part (b) in one sentence using the context of the question. d) Confidence intervals for p, p=0.82, Type=Standard-Wald Sample size=889 CI Level Containing p Total Proportion 0.99 992 1000 0.992 0.2 04 Intervals 901 to 1000 0.6 08 e) Compare the "Prop. contained" value from part (f) to the confidence level associated with the simulation in one sentence