According to a recent​ report, 45​% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 39 had unpaid internships.   a. Use the​ five-step p-value approach to hypothesis testing and a 0.10 level of significance to determine whether the proportion of college interns that had unpaid internships is different from 0.45. b. Assume that the study found that 46 of the 80 college interns had unpaid internships and repeat​ (a). Are the conclusions the​ same?       Question content area bottom Part 1 a. Let π be the population proportion. Determine the null​ hypothesis, H0​, and the alternative​ hypothesis, H1.   H0​: π ▼   greater than> greater than or equals≥ equals= less than or equals≤ not equals≠ less than< enter your response here H1​: π ▼   less than< less than or equals≤ equals= greater than or equals≥ greater than> not equals≠ enter your response here ​(Type integers or decimals. Do not​ round.) Part 2 What is the test​ statistic?   ZSTAT=enter your response here ​(Round to two decimal places as​ needed.) Part 3 What is the​ p-value?   The​ p-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 What is the final​ conclusion?   ▼   Do not reject Reject the null hypothesis. There ▼   is not is sufficient evidence that the proportion of college interns that had unpaid internships is ▼   different fromdifferent from greater thangreater than less thanless than 0.45 because the​ p-value is ▼   less thanless than greater thangreater than the level of significance.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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According to a recent​ report,
45​%
of college student internships are unpaid. A recent survey of
80
college interns at a local university found that
39
had unpaid internships.
 
a. Use the​ five-step p-value approach to hypothesis testing and a
0.10
level of significance to determine whether the proportion of college interns that had unpaid internships is different from
0.45.
b. Assume that the study found that
46
of the
80
college interns had unpaid internships and repeat​ (a). Are the conclusions the​ same?
 
 
 

Question content area bottom

Part 1
a. Let
π
be the population proportion. Determine the null​ hypothesis,
H0​,
and the alternative​ hypothesis,
H1.
 
H0​:
π
 
greater than>
greater than or equals≥
equals=
less than or equals≤
not equals≠
less than<
enter your response here
H1​:
π
 
less than<
less than or equals≤
equals=
greater than or equals≥
greater than>
not equals≠
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 2
What is the test​ statistic?
 
ZSTAT=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
What is the​ p-value?
 
The​ p-value is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
What is the final​ conclusion?
 
 
Do not reject
Reject
the null hypothesis. There
 
is not
is
sufficient evidence that the proportion of college interns that had unpaid internships is
 
different fromdifferent from
greater thangreater than
less thanless than
0.45
because the​ p-value is
 
less thanless than
greater thangreater than
the level of significance.
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