We are interested in estimating the proportion of graduates at a mid-sized university who found a job within one year of completing their undergraduate degree. We can do so by creating a 95% confidence interval for the true proportion p. Suppose we conduct a survey and find out that 340 of the 430 randomly sampled graduates found jobs within one year. Assume that the size of the population of graduates at this university is large enough so that all our conditions for normality are satisfied. (a). What is the value of the point estimate for the proportion of graduates who found a job within one year? In other words, what is p? Round your answer to two decimal places. (b) Calculate the standard error of p. (c) the critical z-score in this case is approximately z* = 1.96. Then determine the lower and upper bounds of the interval. For a 95% confidence interval, determine the margin of error. Note that %3D

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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We are interested in estimating the proportion of graduates at a mid-sized university
who found a job within one year of completing their undergraduate degree. We can do
so by creating a 95% confidence interval for the true proportion p. Suppose we conduct
a survey and find out that 340 of the 430 randomly sampled graduates found jobs within
one year. Assume that the size of the population of graduates at this university is large
enough so that all our conditions for normality are satisfied.
(a)
who found a job within one year? In other words, what is p? Round your answer
to two decimal places.
What is the value of the point estimate for the proportion of graduates
(b)
Calculate the standard error of p.
(c)
the critical z-score in this case is approximately z* = 1.96. Then determine the
lower and upper bounds of the interval.
For a 95% confidence interval, determine the margin of error. Note that
Transcribed Image Text:We are interested in estimating the proportion of graduates at a mid-sized university who found a job within one year of completing their undergraduate degree. We can do so by creating a 95% confidence interval for the true proportion p. Suppose we conduct a survey and find out that 340 of the 430 randomly sampled graduates found jobs within one year. Assume that the size of the population of graduates at this university is large enough so that all our conditions for normality are satisfied. (a) who found a job within one year? In other words, what is p? Round your answer to two decimal places. What is the value of the point estimate for the proportion of graduates (b) Calculate the standard error of p. (c) the critical z-score in this case is approximately z* = 1.96. Then determine the lower and upper bounds of the interval. For a 95% confidence interval, determine the margin of error. Note that
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