c) Calculate a 95% confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university, and interpret it in the context of the data. The standard error is .95 X (Round to four decimal places.) We are 95% confident that approximately % to % (enter the smaller number first, to the nearest tenth of a percent) of graduates from this university found a job within one year of completing their undergraduate degree. d) What does "95% confidence" mean? e) Now calculate a 99% confidence interval for the same parameter and interpret it in the context of the data. We are 99% confident that approximately % to % (enter the smaller number first, to the
c) Calculate a 95% confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university, and interpret it in the context of the data. The standard error is .95 X (Round to four decimal places.) We are 95% confident that approximately % to % (enter the smaller number first, to the nearest tenth of a percent) of graduates from this university found a job within one year of completing their undergraduate degree. d) What does "95% confidence" mean? e) Now calculate a 99% confidence interval for the same parameter and interpret it in the context of the data. We are 99% confident that approximately % to % (enter the smaller number first, to the
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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please help with the blank questions.
![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. Suppose we conduct a survey and find out that 348 of the
400 randomly sampled graduates found jobs. The graduating class under consideration included over 4500
students.
348
a) What is the value of the point estimate of this parameter?
400
b) Check if the conditions for constructing a confidence interval based on these data are met.
Success-failure condition
Independence condition
c) Calculate a 95% confidence interval for the proportion of graduates who found a job within one year of
completing their undergraduate degree at this university, and interpret it in the context of the data.
The standard error is .95
X (Round to four decimal places.)
We are 95% confident that approximately
% to
% (enter the smaller number first, to the
nearest tenth of a percent) of graduates from this university found a job within one year of completing their
undergraduate degree.
d) What does "95% confidence" mean?
e) Now calculate a 99% confidence interval for the same parameter and interpret it in the context of the data.
We are 99% confident that approximately
% to
% (enter the smaller number first, to the
nearest tenth of a percent) of graduates from this university found a job within one year of completing their
undergraduate degree.
f) Compare the widths of the 95% and 99% confidence intervals. Which one is wider? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82db88bb-f012-41c2-80d1-18aa8944e818%2Fbc3fa3e6-9fc8-4f9c-bf61-8171a673d651%2Femddrnk_processed.png&w=3840&q=75)
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. Suppose we conduct a survey and find out that 348 of the
400 randomly sampled graduates found jobs. The graduating class under consideration included over 4500
students.
348
a) What is the value of the point estimate of this parameter?
400
b) Check if the conditions for constructing a confidence interval based on these data are met.
Success-failure condition
Independence condition
c) Calculate a 95% confidence interval for the proportion of graduates who found a job within one year of
completing their undergraduate degree at this university, and interpret it in the context of the data.
The standard error is .95
X (Round to four decimal places.)
We are 95% confident that approximately
% to
% (enter the smaller number first, to the
nearest tenth of a percent) of graduates from this university found a job within one year of completing their
undergraduate degree.
d) What does "95% confidence" mean?
e) Now calculate a 99% confidence interval for the same parameter and interpret it in the context of the data.
We are 99% confident that approximately
% to
% (enter the smaller number first, to the
nearest tenth of a percent) of graduates from this university found a job within one year of completing their
undergraduate degree.
f) Compare the widths of the 95% and 99% confidence intervals. Which one is wider? Explain.
Expert Solution
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Step 1
In survey it is observed that 348 of the 400 randomly sampled graduates found the jobs.
- c) The 95% confidence interval for proportion of graduates who found job can be calculated as:
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