Medical Malpractice In a study of 1228 randomly selected medical malpractice lawsuits, it was found that 856 of them were dropped or dismissed (based on data from the Physicians Insurers Association of America). Use the bootstrap method to construct a 95% confidence interval estimate of the proportion of lawsuits that are dropped or dismissed. Use 1000 bootstrap samples. How does the result compare to the confidence interval found in Exercise 16 “Medical Malpractice” from Section 7-1?
Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 53m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample2h 19m
- 10. Hypothesis Testing for Two Samples3h 22m
- 11. Correlation1h 6m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
8. Sampling Distributions & Confidence Intervals: Proportion
Confidence Intervals for Population Proportion
Problem 7.3a
Textbook Question
Voting Survey In a survey of 1002 people, 70% said that they voted in a recent presidential election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote.
a. Among the 1002 people surveyed, what is the actual number of people who said that they voted?

1
Step 1: Identify the total number of people surveyed, which is given as 1002.
Step 2: Note that 70% of the surveyed people said they voted. Convert this percentage to a decimal by dividing by 100, which gives 0.70.
Step 3: To find the actual number of people who said they voted, multiply the total number of surveyed people (1002) by the decimal representation of the percentage (0.70).
Step 4: Use the formula: \( \text{Number of people who said they voted} = 1002 \times 0.70 \).
Step 5: Perform the multiplication to determine the result, which represents the number of people who claimed they voted in the survey.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Percentage Calculation
Percentage calculation is a mathematical process used to determine a portion of a whole. In this context, to find the actual number of people who said they voted, you multiply the total number of surveyed individuals (1002) by the percentage of those who claimed to have voted (70%). This results in a straightforward calculation that helps quantify survey responses.
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Survey Sampling
Survey sampling involves selecting a subset of individuals from a larger population to estimate characteristics of the whole group. In this case, the 1002 surveyed individuals represent a sample from the broader population of eligible voters. Understanding sampling is crucial for interpreting survey results and assessing their reliability and validity.
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Voter Turnout
Voter turnout refers to the percentage of eligible voters who actually cast a ballot in an election. The survey indicates that 70% of respondents claimed to have voted, while official records show that only 61% of eligible voters participated. This discrepancy highlights the importance of distinguishing between self-reported voting behavior and actual voting records, which can inform discussions about electoral engagement.
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