Answered: college performs a survey of 424…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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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