According to a recent​ report, 46​% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 51 had unpaid internships.   a. Use the​ five-step p-value approach to hypothesis testing and a 0.01 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.46. b. Assume that the study found that 42 of the 80 college interns had unpaid internships and repeat​ (a). Are the conclusions the​ same? a. Let π be the population proportion. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.   H0​: π     less than< greater than> less than or equals≤ equals= greater than or equals≥ not equals≠ nothing   H1​: π     greater than> less than or equals≤ equals= not equals≠ less than< greater than or equals≥ nothing ​(Type integers or decimals. Do not​ round.) What is the test​ statistic?   ZSTAT= ​(Round to two decimal places as​ needed.) What is the​ p-value?   The​ p-value is   ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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According to a recent​ report,
46​%
of college student internships are unpaid. A recent survey of
80
college interns at a local university found that
51
had unpaid internships.
 
a. Use the​ five-step p-value approach to hypothesis testing and a
0.01
level of significance to determine whether the proportion of college interns that had unpaid internships is different from
0.46.
b. Assume that the study found that
42
of the
80
college interns had unpaid internships and repeat​ (a). Are the conclusions the​ same?
a. Let
π
be the population proportion. Determine the null​ hypothesis,
H0​,
and the alternative​ hypothesis,
H1.
 
H0​:
π
 
 
less than<
greater than>
less than or equals≤
equals=
greater than or equals≥
not equals≠
nothing
 
H1​:
π
 
 
greater than>
less than or equals≤
equals=
not equals≠
less than<
greater than or equals≥
nothing
​(Type integers or decimals. Do not​ round.)
What is the test​ statistic?
 
ZSTAT=
​(Round to two decimal places as​ needed.)
What is the​ p-value?
 
The​ p-value is
 
​(Round to three decimal places as​ needed.)
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