A report summarized a survey of 1,872 working adults. The report indicates that 468 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 np 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, n is 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 1,872 working adults surveyed, giving n = 1,872. It is given that 468 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. B = number of successes in a sample 468 1,872 10.25 Substituting the values of n and p, we get np = EX and n(1 - p) = X Enter an exact number. Thus, the first condition has been met. The sample was drawn from the population of all working adults. It is reasonable to assume that 1,872 is less than 10% of the population of all working adults. Thus, the second condition has vy been met. We are told the sample was selected in a way to produce a representative sample of working adults. Thus, the third condition has been met