A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of
2816 firms, 816 announced one or more acquisitions during the year 2000. Does the sample provide sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 31%?
Use α = .10 to make your decision.
What are the hypotheses for this test?
A.
H0: p≠0.31
Ha: p=0.31
B.
H0: p>0.31
Ha: p≤0.31
C.
H0: p=0.31
Ha:
p≠0.310.31
D.
H0:
p<0.31
Ha:
p=0.31
E.
Upper H 0 : p equals 0.31
H0: p=0.31
Upper H Subscript a Baseline : p less than 0.31Ha: p<0.31
F.
H0:
p=0.31
Ha:
p>0.31
What is the rejection region? Select the correct choice below
A.
z<
or
z>
B.
z<
C.
z>
Calculate the value of the z-statistic for this test.
z=
(Round to two decimal places as needed.)
What is the conclusion of the test?
▼
Reject or Do Not Reject
the null hypothesis because the test statistic
▼
is or is not
in the rejection region. Therefore, there is
▼
sufficient or insufficient
evidence at the 0.10 level of significance to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is less than 31%.
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