Question

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). O A. The response is quantitative because the responses can be measured numerically and the values added or subtracted, providing meaningful results. OB. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. C. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is qualitative because the responses can be measured numerically and the values added or subtracted, providing meaningful results. (b) Explain why the sample proportion, p, is a random variable. What is the source of the variability? O A. 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. 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 people may not be responding to the question truthfully. 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 sample. 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. Since the sample size is no more than 5% of the population size and np(1 - p) = 14.760 - 10, the distribution of p is approximately normal with ua = .820 and on = .001

Answer 1

Saluhon PEa.82 n= )o০ he spnse is qualituhie becouse the spanses can ke classified bascd charucterishc of being Suhiesficd ax nat the On. (b) The Sample pprenA is arundam voriebe hecuuse the value 'of vanes from somple to Sample The vanubi lity 'is due t the fact that difeat peaple fee_differntly arding their. Sahsfachan npcl-p leaCo.2) (1-0.32) et 14:76 Uf= p :32 spEPCI-p) E821-0-82 6 0-004

Sincc the Sample size is less than S of the papulahen size and np(p)= 1476z1o the dichabution. OF Ais appaximately namal with p82 and 6p 0.00 1