Question

In a study of

807

randomly selected medical malpractice​ lawsuits, it was found that

497

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: p=0.5

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: p<0.5

H1: p=0.5

F.

H0: p=0.5

H1: 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.

Reject

the null hypothesis because the​ P-value is

greater than

the significance​ level,

α.

B.

Fail to reject

the null hypothesis because the​ P-value is

greater than

the significance​ level,

α.

C.

Fail to 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

less than or equal to

the significance​ level,

α.

What is the final​ conclusion?

A.There

is not

sufficient evidence to warrant rejection of 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

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

Answer 1

X Given 497 Claim p 807 point estimate for the proprotion p = x/n n a II | V 0.50 0.01 0.6159 Test hypothesis are 0.50 H: P > 0.50 H: P = 6.582712 6.58 (P-p) Test statistic z= Vp(1-p)/n) p-value =P(z > 20) 0.0000 2*NORM.DIST(abs-6.58)) (Uisng excel) Since test p-value < 0.01 hence reject the null hypothesis

Answers are 1) Test hypothesis are Option F is correct 2) Test statistic z=6.58 3) P-value = 0.000 4) Decision Since p-value <a hence rejectH Option D is correct 5) Option D is correct