study published in a​ journal, occupational accidents at three construction sites in a country were monitored. The total numbers of accidents at the three randomly selected sites were 52​,105​,and 38. Summary statistics for these three sites​ are: x=65 and s=35.3. Suppose an occupational safety inspector claims that the average number of occupational accidents at all of the​ country's construction sites is less than 71. a. Set up the null and alternative hypotheses for the test. Choose the correct answer below. A.

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In a study published in a​ journal, occupational accidents at three construction sites in a country were monitored. The total numbers of accidents at the three randomly selected sites were 52​,105​,and 38. Summary statistics for these three sites​ are: x=65 and s=35.3. Suppose an occupational safety inspector claims that the average number of occupational accidents at all of the​ country's construction sites is less than 71.

a. Set up the null and alternative hypotheses for the test. Choose the correct answer below.
 
 
A.
H0​:
μ=65
vs.
Ha​:
μ<65
 
B.
H0​:
μ≥71
vs.
Ha​:
μ<71
 
C.
H0​:
μ=71
vs.
Ha​:
μ≠71
 
D.
H0​:
μ=71
vs.
Ha​:
μ>71
 
E.
H0​:
μ=65
vs.
Ha​:
μ≠65
 
F.
H0​:
μ=71
vs.
Ha​:
μ<71
Your answer is correct.
Part 2
b. Find the rejection region for the test using
α=0.05.
Select the correct choice below and fill in the answer​ box(es) within your choice.
​(Round to two decimal places as​ needed.)
 
 
A.
t>enter your response here
 
B.
t<enter your response here
or
t>enter your response here
 
C.
t<negative 2.92−2.92
Your answer is correct.
Part 3
c. Compute the test statistic.
 
t=negative 0.29−0.29
​(Round to two decimal places as​ needed.)
Part 4
d. Give the appropriate conclusion for the test. Choose the correct answer below.
 
 
A.
Do not reject
H0.
There is
sufficient
evidence to indicate that the average number of occupational accidents is less than
71.
 
B.
Reject
H0.
There is
sufficient
evidence to indicate that the average number of occupational accidents is less than
71.
 
C.
Reject
H0.
There is
insufficient
evidence to indicate that the average number of occupational accidents is less than
71.
 
D.
Do not reject
H0.
There is
insufficient
evidence to indicate that the average number of occupational accidents is less than
71.
 
 

 

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