MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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 Online 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. Construct a spreadsheet to answer the following questions. X Open spreadsheet 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. Ho: P Ha: P > î b. Use the Excel Online file provided above to compute the sample proportion of physicians over the age of 55 who have been sued at least once (to 2 decimals). 1.96 sŷ 0.50 Calculate the value of the test statistic (to 2 decimals). 0.0250 0.50 What is the p-value (to 4 decimal places)? Do not round intermediate calculations. c. At a = 0.01, what is your conclusion? Since p-value > α= 0.01, we fail to reject Ho. We conclude that we have 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.
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Transcribed Image Text: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 Online 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. Construct a spreadsheet to answer the following questions. X Open spreadsheet 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. Ho: P Ha: P > î b. Use the Excel Online file provided above to compute the sample proportion of physicians over the age of 55 who have been sued at least once (to 2 decimals). 1.96 sŷ 0.50 Calculate the value of the test statistic (to 2 decimals). 0.0250 0.50 What is the p-value (to 4 decimal places)? Do not round intermediate calculations. c. At a = 0.01, what is your conclusion? Since p-value > α= 0.01, we fail to reject Ho. We conclude that we have 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.
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