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(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 80 or fewer people in the sample are satisfied with their lives? unusual because this probability The probability that 80 or fewer people in the sample are satisfied is, which (Round to four decimal places as needed.) less than

(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 80 or fewer people in the sample are satisfied with their lives? unusual because this probability The probability that 80 or fewer people in the sample are satisfied is, which (Round to four decimal places as needed.) less than

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 0.88. 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. OA. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. B. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OC. The response is qualitative because the number of people satisfied can be counted. D. 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? A. The sample proportion p is a random variable because the value of 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 different people feel differently regarding their satisfaction. OC. 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 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 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) = 10.56 2 10, the distribution of p is approximately normal with μ = 88 and σ = 032 (Round to three decimal places as needed.) Р P (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 0.92? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.92 is 1128 (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 80 or fewer people in the sample are satisfied with their lives? unusual because this probability less than ▼% The probability that 80 or fewer people in the sample are satisfied is, which (Round to four decimal places as needed.)
Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.88. 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. OA. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. B. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OC. The response is qualitative because the number of people satisfied can be counted. D. 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? A. The sample proportion p is a random variable because the value of 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 different people feel differently regarding their satisfaction. OC. 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 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 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) = 10.56 2 10, the distribution of p is approximately normal with μ = 88 and σ = 032 (Round to three decimal places as needed.) Р P (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 0.92? The probability that proportion who are satisfied with the way things are going in their life exceeds 0.92 is 1128 (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 80 or fewer people in the sample are satisfied with their lives? unusual because this probability less than ▼% The probability that 80 or fewer people in the sample are satisfied is, which (Round to four decimal places as needed.)
Standard Normal Distribution Table (page 1) Area N -3.4 -3.3 -3,2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 <-2.5 -2.4 -2.1 -2.0 -1.8 0.00 0:0003 0.0005 0.0007 0.0010 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0274 0.0344 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0,0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.06 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0250 0.0314 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0230 0.0301 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294
Transcribed Image Text:Standard Normal Distribution Table (page 1) Area N -3.4 -3.3 -3,2 -3.1 -3.0 -29 -2.8 -2.7 -2.6 <-2.5 -2.4 -2.1 -2.0 -1.8 0.00 0:0003 0.0005 0.0007 0.0010 0.0013 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0287 0.0359 0.01 0.0003 0.0005 0.0007 0.0009 0.0013 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0281 0.0351 0.02 0.0003 0.0005 0.0006 0.0009 0.0013 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0274 0.0344 Standard Normal Distribution 0.03 0.04 0.05 0.0003 0.0004 0.0006 0.0009 0.0012 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0268 0.0336 0.0003 0.0004 0.0006 0.0008 0.0012 0.0016 0,0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0262 0.0329 0.0003 0.0004 0.0006 0.0008 0.0011 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0256 0.0322 0.06 0.0003 0.0004 0.0006 0.0008 0.0011 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0250 0.0314 0.07 0.0003 0.0004 0.0005 0.0008 0.0011 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.0116 0.0150 0.0192 0.0244 0.0307 0.08 0.0003 0.0004 0.0005 0.0007 0.0010 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0230 0.0301 0.09 0.0002 0.0003 0.0005 0.0007 0.0010 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 0.0233 0.0294
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