According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.76. 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). (a) Suppose the random sample of 100 people is asked. "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. The response is quantitative because the number of people satisfied can be counted. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. x The response is qualitative because the number of people satisfied can be counted. (b) Explain why the sample proportion, p. is a random variable. What is the source of the variability? 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. 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. 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. 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) 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) = 18.24 10, the distribution of p is approximately normal with 0.76 and = 0.043 (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 0.78? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.78 is (Round to four decimal places as needed.) Standard Normal Distribution Table (page 1) 0,01 0178 Standard Normal Distribution 01.04 0.0006 0261 0.2981 0.3446 0.3372 0.3336 0.3300 0.3669 0.08 0.0004 0.000 0.0004 0.000 0.000 0.002 0.002 0.008 0.0026 0.0056 0.0188 0.0183 0.0239 0.0232 0.0155 00550 0.0650 0.0681 0.1401 0.166 0163 0.1611 0.1894 0.100 0.2877 0284 0.2810 0277 0.3228 03101 0.3156 0315 9.3594 0.5320 6 5000 40% 04880 04840 4801 04761 4721 04681 0,01 0,02 0,413 11.04 11.06 0.08 Standard Normal Distribution Table (page 2) 0,00 Standard Normall 0,013 0,04 istribution 0.05 in 904 0.9382 0.9949 0.9951 00820 008- 0.9986 0989 0.9990 0.9992 0.999. 0.9993 1999- 0.9994 0.9995 in 000 007 01.08 0,00 0,01 0,05