1. (8.2) What is the criteria that we use to check the normality of the sampling distribution of p? Why do we need to check it? 2. (8.2) According to the BBMG Conscious Consumer Report, 51% of the adults surveyed said that they are willing to pay more for products with social and environmental benefits despite the current tough economic times (USA TODAY, June 8, 2009). Suppose this result is true for the current population of adult Americans. a) Suppose 1050 adult Americans is asked if they are willing to pay more for products with social and environmental benefits despite the current tough economic time. Describe the sampling distribution of p, the proportion of adult Americans who will hold the said opinion. b) What is the probability that in a random sample of 1050 adult Americans, between 53% and 55% will hold the said opinion. Round your answer to 3 decimal places. c) what is the probability that in a random sample of 1050 adult americans, more then 570 will hold the said opinion? is it an unusual number? why or why not?