According to a study, the proportion of people who are satisfied with the way things are going their lives is 0.78 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) (FFF) UL The response is quantitative because ine number of people susted can be counted OD. The response is qualitative because the number of people satisfied can be counted (b) Explain why the sample proportion, p, is a random vanable. What is the source of the variability? OA. 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. 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 C. 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. OD. The sample proportion p is a random variable because the value of p varies from sample to sampe. The variability is due to the fact that people may not be responding to the question truthfully (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 0.780 and 0.041 Since the sample size is no more than 5% of the population size and np(1 p)- 17.16010, the distribution of is approximately normal with p (Round to three decimal places as needed.) (d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.817 The probability that proportion who are satisfied with the way things are going in their life excoeds 0.81 (Round to four decimal places as needed.)