For students who first enrolled in​ two-year public institutions in a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.389. The president of a certain junior college believes that the proportion of students who enroll in her institution have a lower completion rate. ​(a) State the null and alternative hypotheses in words. ​(b) State the null and alternative hypotheses symbolically. ​(c) Explain what it would mean to make a Type I error. ​(d) Explain what it would mean to make a Type II error.       Question content area bottom Part 1 ​(a) State the null hypothesis in words. Choose the correct answer below.     A. Among students who enroll at the certain junior​ college, the completion rate is greater than 0.389.   B. Among students who first enroll in​ two-year public​ institutions, the completion rate is 0.389.   C. Among students who enroll at the certain junior​ college, the completion rate is less than 0.389.   D. Among students who enroll at the certain junior​ college, the completion rate is 0.389. Part 2 State the alternative hypothesis in words. Choose the correct answer below.     A. Among students who enroll at the certain junior​ college, the completion rate is greater than 0.389.   B. Among students who enroll at the certain junior​ college, the completion rate is 0.389.   C. Among students who enroll at the certain junior​ college, the completion rate is less than 0.389.   D. Among students who first enroll in​ two-year public​ institutions, the completion rate is 0.389. Part 3 ​(b) State the hypotheses symbolically.   H0​: ▼   muμ pp sigmaσ ▼   greater than> equals= not equals≠ less than< enter your response here H1​: ▼   pp sigmaσ muμ ▼   equals= less than< greater than> not equals≠ enter your response here ​(Type integers or decimals. Do not​ round.) Part 4 ​(c) What would it mean to make a Type I​ error?   The president ▼   fails to reject rejects the hypothesis that the proportion of students who earn a​ bachelor's degree within six years is ▼   less than greater than equal to different from enter your response here ​when, in​ fact, the proportion is ▼   less than equal to different from greater than enter your response here. ​(Type integers or decimals. Do not​ round.) Part 5 ​ (d) What would it mean to make a Type II​ error?   The president ▼   fails to reject rejects the hypothesis that the proportion of students who earn a​ bachelor's degree within six years is ▼   less than equal to greater than different from enter your response here ​when, in​ fact, the proportion is ▼   equal to greater than less than different from enter your response here. ​(Type integers or decimals. Do not​ round.)

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For students who first enrolled in​ two-year public institutions in a recent​ semester, the proportion who earned a​ bachelor's degree within six years was
0.389.
The president of a certain junior college believes that the proportion of students who enroll in her institution have a
lower
completion rate.
​(a) State the null and alternative hypotheses in words.
​(b) State the null and alternative hypotheses symbolically.
​(c) Explain what it would mean to make a Type I error.
​(d) Explain what it would mean to make a Type II error.
 
 
 

Question content area bottom

Part 1
​(a) State the null hypothesis in words. Choose the correct answer below.
 
 
A.
Among students who enroll at the certain junior​ college, the completion rate is greater than
0.389.
 
B.
Among students who first enroll in​ two-year public​ institutions, the completion rate is
0.389.
 
C.
Among students who enroll at the certain junior​ college, the completion rate is less than
0.389.
 
D.
Among students who enroll at the certain junior​ college, the completion rate is
0.389.
Part 2
State the alternative hypothesis in words. Choose the correct answer below.
 
 
A.
Among students who enroll at the certain junior​ college, the completion rate is
greater
than
0.389.
 
B.
Among students who enroll at the certain junior​ college, the completion rate is
0.389.
 
C.
Among students who enroll at the certain junior​ college, the completion rate is
less
than
0.389.
 
D.
Among students who first enroll in​ two-year public​ institutions, the completion rate is
0.389.
Part 3
​(b) State the hypotheses symbolically.
 
H0​:
 
muμ
pp
sigmaσ
 
greater than>
equals=
not equals≠
less than<
enter your response here
H1​:
 
pp
sigmaσ
muμ
 
equals=
less than<
greater than>
not equals≠
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 4
​(c) What would it mean to make a Type I​ error?
 
The president
 
fails to reject
rejects
the hypothesis that the proportion of students who earn a​ bachelor's degree within six years is
 
less than
greater than
equal to
different from
enter your response here
​when, in​ fact, the proportion is
 
less than
equal to
different from
greater than
enter your response here.
​(Type integers or decimals. Do not​ round.)
Part 5
​ (d) What would it mean to make a Type II​ error?
 
The president
 
fails to reject
rejects
the hypothesis that the proportion of students who earn a​ bachelor's degree within six years is
 
less than
equal to
greater than
different from
enter your response here
​when, in​ fact, the proportion is
 
equal to
greater than
less than
different from
enter your response here.
​(Type integers or decimals. Do not​ round.)
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