The vice president of sales for Blasterman Cosmetics, Inc. believes that 40% of the company's orders come from customers who are less than 30 years old. A random sample of 10,000 orders will be used to estimate the proportion of customers who are less than 30 years old. Use z-table. a. Assume that the vice president of sales is correct and p = 0.40. What is the sampling distribution of p for this study? - Select your answer- b. What is the probability the sample proportion will be between 0.37 and 0.43 (to 4 decimals)? c. What is the probability the sample proportion will be between 0.39 and 0.41 (to 4 decimals)? d. What would you conclude if the sample proportion is 0.36? -Select your answer- It is plausible that the difference between the sample mean and the population mean is due solely to sampling error. It is not plausible that the difference between the sample mean and the population mean is due solely to sampling error. Icon Key Check My Work