In a recent year, 73% of first-year college students responding to a national survey identified “being very well-off financially” as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important.Is there good evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%? Carry out a significance test to help answer this question.Construct and Interpret a 95% confidence interval for the proportion of all first-year students at the university who would identify being well-off as an important personal goal. What additional information does the confidence interval provide?

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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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In a recent year, 73% of first-year college students responding to a national survey identified “being very well-off financially” as an important personal goal. A state university finds that 132 of an SRS of 200 of its first-year students say that this goal is important.

1. Is there good evidence that the proportion of all first-year students at this university who think being very well-off is important differs from the national value, 73%? Carry out a significance test to help answer this question.
2. Construct and Interpret a 95% confidence interval for the proportion of all first-year students at the university who would identify being well-off as an important personal goal. What additional information does the confidence interval provide?

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