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:

H_{0} : 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.

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