According to a study, the proportion of people who are satisfied with the way things are going in their Iives 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). apa y umprpropor , P vaao u uurcour unaocy 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 varies from sample to sample, The variability is due to the fact that people may not 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 satisfa OD. 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 truthf (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 ▼ than 5% of the population size and np(1- p) = 2 10, the distribution of p is =and a = Vwith (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?
According to a study, the proportion of people who are satisfied with the way things are going in their Iives 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). apa y umprpropor , P vaao u uurcour unaocy 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 varies from sample to sample, The variability is due to the fact that people may not 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 satisfa OD. 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 truthf (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 ▼ than 5% of the population size and np(1- p) = 2 10, the distribution of p is =and a = Vwith (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?
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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 0.76. 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).
TIILAL I LIIV
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 varies from sample to sample. The variability is due to the fact that people may not 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.
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 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
than 5% of the population size and np(1 - p) = | |2 10, the distribution of p is
with p= and oa
(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.)
(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 70 or fewer people in the sample are satisfied with their lives?
The probability that 70 or fewer people in the sample are satisfied is which
unusual because this probability
less than
%.
(Round to four decimal places as needed.)
Click to select your answer(S).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb40d4242-3ac3-4a23-b8cc-f3704c2db427%2F63de6e97-4c22-45d6-809d-e8b3ec391668%2Fzru5izr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.76. 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).
TIILAL I LIIV
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 varies from sample to sample. The variability is due to the fact that people may not 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.
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 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
than 5% of the population size and np(1 - p) = | |2 10, the distribution of p is
with p= and oa
(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.)
(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 70 or fewer people in the sample are satisfied with their lives?
The probability that 70 or fewer people in the sample are satisfied is which
unusual because this probability
less than
%.
(Round to four decimal places as needed.)
Click to select your answer(S).
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