Question

In a study of 809 randomly selected medical malpractice​ lawsuits, it was found that 471 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. Upper H 0 : p less than 0.5 Upper H 1 : p equals 0.5 B. Upper H 0 : p equals 0.5 Upper H 1 : p greater than 0.5 C. Upper H 0 : p greater than 0.5 Upper H 1 : p equals 0.5 D. Upper H 0 : p equals 0.5 Upper H 1 : p not equals 0.5 E. Upper H 0 : p equals 0.5 Upper H 1 : p less than 0.5 F. Upper H 0 : p not equals 0.5 Upper H 1 : p equals 0.5 What is the test​ statistic? zequals nothing ​(Round to two decimal places as​ needed.) What is the​ P-value? ​P-valueequals 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, alpha. B. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, alpha. C. Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, alpha. D. Reject the null hypothesis because the​ P-value is greater than the significance​ level, alpha. 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 warrant rejection of 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 support the claim that most medical malpractice lawsuits are dropped or dismissed.

Answer 1

The statistical software output for this problem is:

Hence,

Hypotheses:

H₀ : p = 0.5
H_A : p > 0.5

Test statistic = 4.68

P - value = 0.000

Conclusion: Reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, alpha. Option C is correct.

Final conclusion: There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed. Option A is correct.