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organization, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose the andom sample of 100 people is obtained. Complete parts (a) through (e) below. OC. 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. 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. Question ) 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 requiremen skewed right with Hand = ince the sample size is no less than 5% of the population size and np(1-p) => 10, the distribution of pis Round to three decimal places as needed.) P

organization, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose the andom sample of 100 people is obtained. Complete parts (a) through (e) below. OC. 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. 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. Question ) 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 requiremen skewed right with Hand = ince the sample size is no less than 5% of the population size and np(1-p) => 10, the distribution of pis Round to three decimal places as needed.) P

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. OC. 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. 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. Question Viewer (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. ≥10, the distribution of p is skewed right with HA= and σA = Since the sample size is no less than 5% of the population size and np(1-p) = (Round to three decimal places as needed.) Р (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 0.86? 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.) (e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 76 or fewer people in the sample are satisfied with their lives? which is not unusual because this probability is not less than 0.05%. The probability that 76 or fewer people in the sample are satisfied is (Round to four decimal places as needed.) 3
Transcribed Image Text: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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. OC. 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. 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. Question Viewer (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. ≥10, the distribution of p is skewed right with HA= and σA = Since the sample size is no less than 5% of the population size and np(1-p) = (Round to three decimal places as needed.) Р (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 0.86? 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.) (e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 76 or fewer people in the sample are satisfied with their lives? which is not unusual because this probability is not less than 0.05%. The probability that 76 or fewer people in the sample are satisfied is (Round to four decimal places as needed.) 3
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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (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. O A. The response is qualitative because the number of people satisfied can be counted. OB. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. OC. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is quantitative 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? OA. 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. 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 represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.
Transcribed Image Text: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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (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. O A. The response is qualitative because the number of people satisfied can be counted. OB. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. OC. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is quantitative 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? OA. 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. 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 represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.
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