According to a study the proportion of people who are satisfied with the way things are going in their lives is 0 82 Suppose that a random sample of 100 people is obtained Complete parts a through e below Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 b Explain why the sample proportion p is a random variable What is the source of the variability OA The sample proportion p is a random variable because the value of p varies from sample to sample The variability is due to the fact that people may not be responding to the question truthfully OB The sample proportion p is a random variable because the value of p represents a random person included in the sample The variability is due to the fact that different people feel differently regarding their satisfaction OC The sample proportion p is a random variable because the value of p represents a random person included in the sample The variability is due to the fact that people may not be responding to the question truthfully D The sample proportion p is a random variable because the value of p varies from sample to sample The variability is due to the fact that different people feel differently regarding their satisfaction c Describe the sampling distribution of p the proportion of people who are satisfied with the way things are going in their life Be sure to verify the model requirements Since the sample size is with in A than 5 of the population size and np 1 p and A P 210 the distribution of p is