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sebascarvallo2003
20.07.2019 •
Mathematics
We are interested in estimating the proportion of graduates at a mid-sized university who found a jobwithin one year of completing their undergraduate degree. suppose we conduct a survey and nd outthat 348 of the 400 randomly sampled graduates found jobs. the graduating class under considerationincluded over 4500 students. chapter7: analysis of categorical data -part 117-8(a)describe the population parameter of interest. what is the value of the point estimate of thisparameter? (b)check if the conditions for constructing a con dence interval based on these data are met.(c)calculate a 95% con dence interval for the proportion of graduates who found a job within oneyear of completing their undergraduate degree at this university, and interpret it in the contextof the data.(d)what does ? 95% con dence? mean? (e)now calculate a 99% con dence interval for the same parameter and interpret it in the context ofthe data.(f)compare the widths of the 95% and 99% con dence intervals. which one is wider? explai
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Ответ:
From the question, the population parameter of interest is the proportion of graduates at a mid-sized university who found a job within one year of completing their undergraduate degree.
The value of the point estimate of this parameter is given by
Part B:
The conditions that must be met before constructing a confidence interval include:
The sample size is large.
Since, npq > 10, the conditions for constructing confidence interval are met.
Part C:
The 95% confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university is given by:
Part D:
We are 95% confident that the proportion of graduates at a mid-sized university who found a job within one year of completing their undergraduate degree is between 0.84 and 0.90
Part E:
The 99% confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university is given by:
Part F:
The width of the 95% confidence interval is 0.06 while the width of the 99% confidence inteval is 0.08.
The 99% confidence interval is wider.
The wider the width of a confidence interval, the more confident we are that the required proportion is in the interval.
Ответ:
To find A∩B, you need to find the values that both data sets include, or where they overlap. Both data sets include the number range of 0 to 3. Because both data sets include 0, but set A does not include 3, the answer is [0, 3).