According to a recent survey, about 33% of Americans polled said that they would likely purchase reusable cloth bags for groceries in order to reduce plastic waste. Suppose 45 shoppers are interviewed a local supermarket.
a. Describe the sampling distribution for the sample proportion by naming the model and determining its mean and standard deviation.
b. What is the probability that no more than 28% of shoppers say that they are likely to purchase reusable cloth bags for groceries?
c. What is the probability that between 28% and 38% of shoppers say that they are likely to purchase reusable cloth bags for groceries?