An article in Fortune (September 21, 1992) claimed that nearly one-hal

podnescijy

podnescijy

Answered question

2021-12-07

An article in Fortune (September 21, 1992) claimed that nearly one-half of all engineers continue academic studies beyond the B.S. degree, ultimately receiving aither an M.S. or a Ph.D. degree. Data from an article in Engineering Horizons (Spring 1990) indicated that 117 of 484 new engineering graduates were planning graduate study.
Are the data from Engineering Horizons consistent with the claim reported by Fortune? Use α=0.05 in reaching your conclusions.
What is the value of the test statistic?
Answer with two decimal places

Answer & Explanation

Michele Grimsley

Michele Grimsley

Beginner2021-12-08Added 19 answers

Step 1
Here, a sample of 484 is observed.
If 117 engineering graduates were planning graduate study, then the proportion is
p=117484
=0.241735
Since, it is claimed that nearly one half of engineering graduates continue the studies, then it is to be tested that
H0:p=12
H1:p12
Thus,
Step 2
The test statistic is
z=pp0p0(1p0)n
=0.2417350.50.5(10.5)484
=0.2582650.02273
=11.3623
Step 3
The critical value at α=0.05 in two tails is 1.96.
Since, |z|>1.96, reject H0
Therefore, the claim that nearly one half of engineering graduates continue the studies is not true.

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