In a study of

787

randomly selected medical malpractice lawsuits, it was found that

471

of them were dropped or dismissed. Use a

0.01

significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be conducted?

A.

H0:p=0.5

H1:p0.5

B.

H0:p=0.5

H1:p<0.5

C.

H0:p>0.5

H1:p=0.5

D.

H0:p<0.5

H1:p=0.5

E.

H0:p0.5

H1:p=0.5

F.

H0:p=0.5

H1:p>0.5

Your answer is correct.

Part 2 What is the test statistic?

z=

(Round to two decimal places as needed.)Part 3What is the P-value?

P-value=

(Round to three decimal places as needed.)

Part 4 What is the conclusion about the null hypothesis?

A.

Reject

the null hypothesis because the P-value is

lessthanorequalto

the significance level,

.

B.

Reject

the null hypothesis because the P-value is

greaterthan

the significance level,

.

C.

Failtoreject

the null hypothesis because the P-value is

lessthanorequalto

the significance level,

.

D.

Failtoreject

the null hypothesis because the P-value is

greaterthan

the significance level,

.

Part 5

What is the final conclusion?

A.

There

is

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

B.

There

isnot

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

C.

There

is

sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

D.

There

isnot

sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.