A business journal investigation of the performance and timingof corporate acquisitions discovered that in a random sample of 2,767 ​firms, 705 announced one or more acquisitions during the year2000. Does the sample provide sufficient evidence to indicate thatthe true percentage of all firms that announced one or moreacquisitions during the year 2000 is less than 27​%?
Use α=0.10 to make your decision. What are the hypotheses forthis​ test?
A. H0​: p<0.27
Ha​: p=0.27
B. H0​: p≠0.27
Ha​: p=0.27
C. H0: p=0.27
Ha: p<0.27
D. H0​: p=0.27
Ha​: p>0.27
E. H0​: p>0.27
Ha​: ≤0.27
F. H0​: p=0.27
Ha​: p≠0.27
What is the rejection​ region? Select the correct choice belowand fill in the answer​ box(es) to complete your choice.
​(Round to two decimal places as​ needed.)
A. z<_________ orz>_________
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?
â–¼
Reject
Do not reject
the null hypothesis because the test statistic
â–¼
is
is not
in the rejection region.​Therefore, there is
â–¼
insufficient
sufficient
evidence at the 0.10
level of significance to indicate that the true percentage ofall firms that announced one or more acquisitions during the year2000 is less than 27​%.
