maths

1. The NIH states the percentage of adults males in the United States who have had measles is 23%. Dr. OZ believes this percentage is not correct; he randomly choose 656 households. 

A.Desribe the sampling distribution of the sample proportion for the adults males who have had measles

• Determine the mean and the standard deviation of the sampling distribution 
• What is the shape of the sample distribution of the sample proportions?
• Include a plot to support your answer

B. Find the probability that between 158 and 164 adults men have had measles in a sample of 656 households 

C. Is it unusual to have 180 males adults who have had measles in a sample of size 656? Explain your answer

D. What is the minimum number of households needed to be randomly selected from the population in order for the central limit theorem to be applied