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 beconducted?

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**
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