Question

In a study of 805 randomly selected medical malpractice​ lawsuits, it was found that 508 of them were dropped or dismissed. Use a 0.05 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 decimals)

What is the conclusion about the null​ hypothesis?

What is the final​ conclusion?

Answer 1

solution:

The sample size is N=805,

the number of favorable cases is X=508

Sample proportion =

Null and Alternative Hypotheses

This corresponds to a right-tailed test, for which a z-test for one population proportion needs to be used.

the significance level is

the critical value for a right-tailed test is

Test Statistics

Decision about the null hypothesis

Since it is observed that , it is then concluded that the null hypothesis is rejected.

Conclusion

it is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that te most medical malpractice lawsuits are dropped or dissmissed.