en spreadsheet 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 SS have been sued at least once. 6: PE 0.50 Use the Excel Online file provided above to compute the sample proportion of physicians over the age of SS who have been sued at least once (to 2 decimals). lculate the value of the test statistic (to 2 decimals). at is the p-value (to 4 decimal places)? Do not round intermediate calculations. At a=0.02, what is your conclusion? mce p-value [5 -0.02, we reject Ho. We conclude that we have sufficient evidence to suggest that the proportion of physicians over the age of SS who have been sued at least once is greater than .50.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
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The additional rows of Yes and No are correct as I could only upload 2 pictures.

### Analysis of Physicians Sued by Patients

**Survey Question:**
Have you been sued by a patient?

**Responses:**
- Yes
- No

**Data Results and Analysis:**

- **Sample Size**: 150
- **Number of People Who Answered "Yes"**: Displayed by blue bar
- **Number of People Who Answered "No"**: Displayed by green bar
- **Sample Proportion (2 decimals)**: Displayed by a light green bar
- **Hypothesized Population Proportion**: 0.50
- **Test Statistic (2 decimals)**: Displayed by a light green bar
- **p-value (4 decimals)**: Displayed by a light green bar
- **Level of Significance (Alpha)**: 0.02
- **Reject Null Hypothesis?**: Displayed by a green bar

**Conclusion Question:**
Can one conclude that the proportion of physicians over the age of 55 who have been sued at least once is greater than 0.50?

**Graphical Explanation:**

Each aspect of the data is represented by bars, providing a visual comparison of the respective metrics. The length of the bars indicates the size or value of the specific statistical measure being presented, emphasizing key differences and aiding in quick analysis at a glance. 

The graphics alongside the text help illustrate comparative numbers crucial for hypothesis testing, such as calculating the sample proportion and determining statistical significance.
Transcribed Image Text:### Analysis of Physicians Sued by Patients **Survey Question:** Have you been sued by a patient? **Responses:** - Yes - No **Data Results and Analysis:** - **Sample Size**: 150 - **Number of People Who Answered "Yes"**: Displayed by blue bar - **Number of People Who Answered "No"**: Displayed by green bar - **Sample Proportion (2 decimals)**: Displayed by a light green bar - **Hypothesized Population Proportion**: 0.50 - **Test Statistic (2 decimals)**: Displayed by a light green bar - **p-value (4 decimals)**: Displayed by a light green bar - **Level of Significance (Alpha)**: 0.02 - **Reject Null Hypothesis?**: Displayed by a green bar **Conclusion Question:** Can one conclude that the proportion of physicians over the age of 55 who have been sued at least once is greater than 0.50? **Graphical Explanation:** Each aspect of the data is represented by bars, providing a visual comparison of the respective metrics. The length of the bars indicates the size or value of the specific statistical measure being presented, emphasizing key differences and aiding in quick analysis at a glance. The graphics alongside the text help illustrate comparative numbers crucial for hypothesis testing, such as calculating the sample proportion and determining statistical significance.
The transcription for the educational website is as follows:

---

**Understanding the Impact of Malpractice Insurance and Lawsuits on Physicians Over 55**

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.

**Excel Spreadsheet Instructions**

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.

- \( H_0 \): \( p \leq 0.50 \)
- \( H_a \): \( p > 0.50 \)

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

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

c. At \( \alpha = 0.02 \), what is your conclusion?

Since p-value \( \leq \) \( \alpha = 0.02 \), we reject \( H_0 \). We conclude that we have sufficient evidence to suggest that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50.

---

_Note: Ensure you use the provided Excel Online file to perform your calculations accurately._
Transcribed Image Text:The transcription for the educational website is as follows: --- **Understanding the Impact of Malpractice Insurance and Lawsuits on Physicians Over 55** 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. **Excel Spreadsheet Instructions** 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. - \( H_0 \): \( p \leq 0.50 \) - \( H_a \): \( p > 0.50 \) 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. Calculate the value of the test statistic (to 2 decimals). 2. What is the p-value (to 4 decimal places)? Do not round intermediate calculations. c. At \( \alpha = 0.02 \), what is your conclusion? Since p-value \( \leq \) \( \alpha = 0.02 \), we reject \( H_0 \). We conclude that we have sufficient evidence to suggest that the proportion of physicians over the age of 55 who have been sued at least once is greater than .50. --- _Note: Ensure you use the provided Excel Online file to perform your calculations accurately._
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