A report summarized a survey of 2,320 working adults. The report indicates that 464 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. The sample was selected in a way designed to produce a representative sample of working adults. Construct and interpret a 95% confidence interval for the proportion of working adults who are very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. Step 1 A confidence interval for a population proportion p can be constructed if the following criteria have been met. 1. The sample size n is large enough so that no 2 10 and n(1-P) 2 10. 2. If the sample is selected without replacement, the sample size is small relative to the population size. That is, nis at most 10% of the population size. 3. The sample proportion p is from a simple random sample. To determine if the criteria are met for constructing a confidence interval for the population proportion of workers who are concerned their job will become obsolete in the next 5 years, we must first calculate the sample proportion. There were 2,320 working adults surveyed, giving n - 2,320. It is given that 464 of those surveyed are concerned that their job will become obsolete in the next 5 years. Use these values to calculate the sample proportion of workers who are concerned their job will become obsolete in the next 5 years. number of successes in a sample - 2.320 Substituting the values of n and p, we get np- and n(1-0)-

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Tutorial Exercise
A report summarized a survey of 2,320 working adults. The report indicates that 464 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. The sample was selected in a way
designed to produce a representative sample of working adults. Construct and interpret a 95% confidence interval for the proportion of working adults who are very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years.
Step 1
A confidence interval for a population proportion p can be constructed if the following criteria have been met.
1. The sample size n is large enough so that no ≥ 10 and n(1) ≥ 10.
2. If the sample is selected without replacement, the sample size is small relative to the population size. That is, n is at most 10% of the population size.
3. The sample proportion is from a simple random sample.
To determine if the criteria are met for constructing a confidence interval for the population proportion of workers who are concerned their job will become obsolete in the next 5 years, we must first calculate the sample proportion. There were 2,320 working adults surveyed,
giving n = 2,320.
It is given that 464 of those surveyed are concerned that their job will become obsolete in the next 5 years. Use these values to calculate the sample proportion of workers who are concerned their job will become obsolete in the next 5 years.
number of successes in a sample
p =
n
2,320
Substituting the values of n and p, we get no =
Thus, the first condition ---Select--- been met.
The sample was drawn from the population of all working adults. It ---Select--- reasonable to assume that 2,320 is less than 10% of the population of all working adults. Thus, the second condition ---Select--- been met.
We are told the sample was selected in a way to produce a representative sample of working adults. Thus, the third condition --Select--- been met.
Submit Skip (you cannot come back)
and n(1 - p) =
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A report summarized a survey of 2,320 working adults. The report indicates that 464 of the working adults surveyed said they were very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. The sample was selected in a way designed to produce a representative sample of working adults. Construct and interpret a 95% confidence interval for the proportion of working adults who are very concerned that their job will be automated, outsourced, or otherwise made obsolete in the next 5 years. Step 1 A confidence interval for a population proportion p can be constructed if the following criteria have been met. 1. The sample size n is large enough so that no ≥ 10 and n(1) ≥ 10. 2. If the sample is selected without replacement, the sample size is small relative to the population size. That is, n is at most 10% of the population size. 3. The sample proportion is from a simple random sample. To determine if the criteria are met for constructing a confidence interval for the population proportion of workers who are concerned their job will become obsolete in the next 5 years, we must first calculate the sample proportion. There were 2,320 working adults surveyed, giving n = 2,320. It is given that 464 of those surveyed are concerned that their job will become obsolete in the next 5 years. Use these values to calculate the sample proportion of workers who are concerned their job will become obsolete in the next 5 years. number of successes in a sample p = n 2,320 Substituting the values of n and p, we get no = Thus, the first condition ---Select--- been met. The sample was drawn from the population of all working adults. It ---Select--- reasonable to assume that 2,320 is less than 10% of the population of all working adults. Thus, the second condition ---Select--- been met. We are told the sample was selected in a way to produce a representative sample of working adults. Thus, the third condition --Select--- been met. Submit Skip (you cannot come back) and n(1 - p) =
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