Question

In a study of

824

randomly selected medical malpractice​ lawsuits, it was found that

479

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.

Upper H 0 : p not equals 0.5H0: p≠0.5

Upper H 1 : p equals 0.5H1: p=0.5

B.

Upper H 0 : p less than 0.5H0: p<0.5

Upper H 1 : p equals 0.5H1: p=0.5

C.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p less than 0.5H1: p<0.5

D.

Upper H 0 : p greater than 0.5H0: p>0.5

Upper H 1 : p equals 0.5H1: p=0.5

E.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p greater than 0.5H1: p>0.5

F.

Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p not equals 0.5H1: p≠0.5

What is the test​ statistic?

z=nothing

​(Round to two decimal places as​ needed.)

What is the​ P-value?

​P-value=nothing

​(Round to three decimal places as​ needed.)

What is the conclusion about the null​ hypothesis?

A.

Fail to reject

the null hypothesis because the​ P-value is

less than or equal to

the significance​ level,

α.

B.

Fail to reject

the null hypothesis because the​ P-value is

greater than

the significance​ level,

α.

C.

Reject

the null hypothesis because the​ P-value is

less than or equal to

the significance​ level,

α.

D.

Reject

the null hypothesis because the​ P-value is

greater than

the significance​ level,

α.

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

is not

sufficient evidence to support 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

is not

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

Answer 1

Here claim is that most medical malpractice lawsuits are dropped or dismissed.

So hypothesis is

C.Upper H 0 : p equals 0.5H0: p=0.5

Upper H 1 : p less than 0.5H1: p<0.5

Now

So test statistics is

Now P value is

So we fail to reject the null hypothesis

B. Fail to reject the null hypothesis because the​ P-value is greater than the significance​ level, α.

B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.