According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) and (b) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) 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 varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. O B. 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. O C. The sample proportion pis a random variable because the value of p varies from sample to sample. The variability is due to the fact that the sample size is too small. O U. 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 (b) What is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86 is. (Round to four decimal places as needed.)

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According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) and (b) below.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) 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 varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.
O B. 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 pis a random variable because the value of p varies from sample to sample. The variability is due to the fact that the sample size is too small.
O D. 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 truthfuly.
(b) What is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86?
The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86 is.
(Round to four decimal places as needed.)
Click to select your answer(s).
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Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) and (b) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) 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 varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. O B. 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 pis a random variable because the value of p varies from sample to sample. The variability is due to the fact that the sample size is too small. O D. 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 truthfuly. (b) What is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.86 is. (Round to four decimal places as needed.) Click to select your answer(s). prt sc delete end home 144 ? 12 米 IDI 10 esc 23 & num @ 7 8. 10 backspace lock 2
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