We want to be rich 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 convincing evidence at the a = 0.05 significance level 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%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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6.
We want to be rich 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 convincing evidence
at the a = 0.05 significance level 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%?
Construct and interpret a 95% confidence interval
for the true proportion p of all first-year students at
the university who would identify being well-off as an
important personal goal.
Transcribed Image Text:6. We want to be rich 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 convincing evidence at the a = 0.05 significance level 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%? Construct and interpret a 95% confidence interval for the true proportion p of all first-year students at the university who would identify being well-off as an important personal goal.
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