According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. I le Sailipie piupuluvil p Is a lanluvIll vallavie because ure value vip valles IVIII sailIple I Sample. The vailability Is Que I Tie lact ulat people may IIUL be responding to the question truthfully. O C. 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. 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 no more than 5% of the population size and np(1 - p) = 16 2 10, the distribution of p is approximately normal with us = 0.80 and 6A = 0.04 (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 0.82? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.82 is 0.3085 (Round to four decimal places as needed.) (e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 74 or fewer people in the sample are satisfied with their lives? The probability that 74 or fewer people in the sample are satisfied is , which unusual because this probability less than (Round to four decimal places as needed.) Help me solve this Video Get more help - Clear all Check answer Type here to search C O C