In a study of 776randomly selected medical malpractice​ lawsuits, it was found that 513 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-value= ________ ​(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. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.   C. 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.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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Problem 58E: What is meant by the sample space of an experiment?
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In a study of 776randomly selected medical malpractice​ lawsuits, it was found that 513 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-value= ________
​(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. Fail to reject the null hypothesis because the​ P-value is less than or equal to the significance​ level, α.
 
C. 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.

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Given

Let x be the number of dropped or dismissed medical law suits.

sample size, n= 776     x=513

Level of significance = .01

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