college performs a survey of 424 randomly chosen graduates to estimate the proportion of alumni who are working in the field of their college degree. For example, if a student earned a degree in biology, do they work in the field of biology? Of the 424 alumni, 361 reported that they were working in the field of their college degree. A 98% confidence interval for the true proportion of graduates who are working in the field of their degree is (0.811, 0.892). What is the correct interpretation of the confidence interval? 98% of all polls of graduates like these will give sample proportions in the range from 0.811 to 0.892. The percentage of all graduates who are working in the field of their degree is certainly between 0.811 and 0.892. It can be stated with 98% confidence that the proportion of all graduates who are working in the field of their degree is captured by the interval from 0.811 to 0.892. It can be stated with 98% confidence that the sample proportion of graduates who are working in the field of their degree is contained within the confidence interval.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A college performs a survey of 424 randomly chosen graduates to estimate the proportion of alumni who are working in the field of their college degree. For example, if a student earned a degree in biology, do they work in the field of biology? Of the 424 alumni, 361 reported that they were working in the field of their college degree. A 98% confidence interval for the true proportion of graduates who are working in the field of their degree is (0.811, 0.892). What is the correct interpretation of the confidence interval?

98% of all polls of graduates like these will give sample proportions in the range from 0.811 to 0.892.
The percentage of all graduates who are working in the field of their degree is certainly between 0.811 and 0.892.
It can be stated with 98% confidence that the proportion of all graduates who are working in the field of their degree is captured by the interval from 0.811 to 0.892.
It can be stated with 98% confidence that the sample proportion of graduates who are working in the field of their degree is contained within the confidence interval.
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