The figure to the right shows the results of a survey in which 2500 college graduates from the year 2016 were asked questions about employment. Employment College students' responses to questions about employment Construct 95% confidence intervals for the population proportion of college students who gave each response. Expect to stay at first employer for 3 or more years 71% Completed an apprenticeship or intemship 68% Employed in field of study 62% Feel underemployed 54% Prefer to work for a large company 16%
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Need 95% interval for all five categories.
![The figure to the right shows the results of a survey in which 2500 college graduates from the year 2016
were asked questions about employment.
Employment
College students' responses to
questions about employment
Construct 95% confidence intervals for the population proportion of college students who gave each
response.
Expect to stay at first employer for 3 or more years
71%
Completed an apprenticeship or intemship
68%
Employed in field of study
62%
Feel underemployed
54%
Prefer
work for a large company
16%
The 95% confidence interval for the proportion of college students that expect to stay at their first employer for 3 or more years is
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fb09a63-08e6-4135-872e-8c3d49f0eed8%2F9f1fee21-918b-4a05-962d-b002bbc8448c%2Fgaen6lo_processed.png&w=3840&q=75)
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