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​%.