One of the reasons health care costs have been rising rapidly in recent years is the increasing cost of malpractice insurance for physicians. Also, fear of being sued causes doctors to run more precautionary tests (possibly unnecessary) just to make sure they are not guilty of missing something. These precautionary tests also add to health care costs. Data in the Excel file provided below are consistent with findings in the Reader's Digest article and can be used to estimate the proportion of physicians over the age of 55 who have been sued at least once. a. Formulate hypotheses that can be used to see if these data can support a finding that more than half of physicians over the age of 55 have been sued at least once. _________<>≤≥=≠ 0.50 _________<>≤≥=≠ 0.50 b. Use the Excel file provided to compute the sample proportion of physicians over the age of 55 who have been sued at least once (to 2 decimals). Calculate the value of the test statistic (to 2 decimals). What is the -value (to 4 decimal places)? Do not round intermediate calculations. c. At , what is your conclusion? Since -value _________≤> , we _________reject fail to reject . We conclude that we have _________sufficient insufficient evidence to suggest that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50. Have you been sued by a patient? Yes Sample Size 150 Yes No Number of People Who Answered "Yes" Yes No Number of People Who Answered "No" Yes Yes Sample Proportion (2 decimals) Yes Yes Hypothesized Population Proportion 0.50 No No Test Statistic (2 decimals) No Yes p-value (4 decimals) No Yes Level of Significance (Alpha) 0.05 No No Reject Null Hypothesis? Yes Yes Can one conclude that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50? No Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes No No No No No No Yes No No No Yes Yes Yes No No Yes No No Yes Yes Yes Yes Yes Yes Yes No Yes No No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No No Yes Yes No No No Yes Yes No Yes Yes Yes No No No Yes No Yes Yes Yes No No Yes Yes No No Yes Yes No No Yes Yes Yes No Yes Yes No Yes Yes No Yes No Yes Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No No Yes Yes Yes No No No Yes Yes No Yes

One of the reasons health care costs have been rising rapidly in recent years is the increasing cost of malpractice insurance for physicians. Also, fear of being sued causes doctors to run more precautionary tests (possibly unnecessary) just to make sure they are not guilty of missing something. These precautionary tests also add to health care costs. Data in the Excel file provided below are consistent with findings in the Reader's Digest article and can be used to estimate the proportion of physicians over the age of 55 who have been sued at least once. a. Formulate hypotheses that can be used to see if these data can support a finding that more than half of physicians over the age of 55 have been sued at least once. _____<>≤≥=≠ 0.50 _<>≤≥=≠ 0.50 b. Use the Excel file provided to compute the sample proportion of physicians over the age of 55 who have been sued at least once (to 2 decimals). Calculate the value of the test statistic (to 2 decimals). What is the -value (to 4 decimal places)? Do not round intermediate calculations. c. At , what is your conclusion? Since -value _≤> , we _reject fail to reject . We conclude that we have _____sufficient insufficient evidence to suggest that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50. Have you been sued by a patient? Yes Sample Size 150 Yes No Number of People Who Answered "Yes" Yes No Number of People Who Answered "No" Yes Yes Sample Proportion (2 decimals) Yes Yes Hypothesized Population Proportion 0.50 No No Test Statistic (2 decimals) No Yes p-value (4 decimals) No Yes Level of Significance (Alpha) 0.05 No No Reject Null Hypothesis? Yes Yes Can one conclude that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50? No Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes No No No No No No Yes No No No Yes Yes Yes No No Yes No No Yes Yes Yes Yes Yes Yes Yes No Yes No No Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No No Yes Yes No No No Yes Yes No Yes Yes Yes No No No Yes No Yes Yes Yes No No Yes Yes No No Yes Yes No No Yes Yes Yes No Yes Yes No Yes Yes No Yes No Yes Yes Yes Yes No No Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No No Yes Yes Yes No No No Yes Yes No Yes

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Description: One of the reasons health care costs have been rising rapidly in recent years is the increasing cost of malpractice insurance for physicians. Also, fear of being sued causes doctors to run more precautionary tests (possibly unnecessary) just to make

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. Formulate hypotheses that can be used to see if these data can support a finding that more than half of physicians over the age of 55 have been sued at least once.

	_________<>≤≥=≠ 0.50
	_________<>≤≥=≠ 0.50

b. Use the Excel file provided to compute the sample proportion of physicians over the age of 55 who have been sued at least once (to 2 decimals).

Calculate the value of the test statistic (to 2 decimals).

What is the -value (to 4 decimal places)? Do not round intermediate calculations.

c. At , what is your conclusion?

Since -value _________≤> , we _________reject fail to reject . We conclude that we have _________sufficient insufficient evidence to suggest that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50.

Have you been sued by a patient?
Yes	Sample Size	150
Yes
No	Number of People Who Answered "Yes"
Yes
No	Number of People Who Answered "No"
Yes
Yes	Sample Proportion (2 decimals)
Yes
Yes	Hypothesized Population Proportion	0.50
No
No	Test Statistic (2 decimals)
No
Yes	p-value (4 decimals)
No
Yes	Level of Significance (Alpha)	0.05
No
No	Reject Null Hypothesis?
Yes
Yes	Can one conclude that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50?
No
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