Question

In a study of 780 randomly selected medical malpractice​ lawsuits, it was found that 516

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=

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

What is the​ P-value?

​P=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 greater than the significance​ level, α.

B.

Reject the null hypothesis because the​ P-value is less than or equal to 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 greater than 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

Solution:

1)Which of the following is the hypothesis test to be​conducted?

H0: p=0.5

H1: p>0.5

2)

First we find sample proportion.

Let   be the sample proportion.

= x/n = 516/780 = 0.6615

The test statistic z is

z =   

=  (0.6615 - 0.5)/[0.5*(1 - 0.5)/780]

= 9.02

3)

Right tailed test

p value = P(Z > z) = P(Z > 9.02) = 0.000

p value = 0.000

4)

Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.

5)

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