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Ch. 7 - Estimating Parameters and Determining Sample Sizes
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446당신이 사용하는 게 아니라요?교과서 변경
7장, 문제 7.1

Female Motorcycle Owners Here is a 95% confidence interval estimate of the percentage of motorcycle owners who are female: 17.5%<p<20.6% (based on data from the Motorcycle Industry Council). What is the best point estimate of the percentage of motorcycle owners who are women?

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Identify the given confidence interval for the percentage of motorcycle owners who are female: 17.5% < p < 20.6%.
Recall that the best point estimate for a population proportion is the midpoint of the confidence interval.
To find the midpoint, use the formula: \( \text{Midpoint} = \frac{\text{Lower Bound} + \text{Upper Bound}}{2} \).
Substitute the given values into the formula: \( \text{Midpoint} = \frac{17.5 + 20.6}{2} \).
Simplify the expression to calculate the best point estimate of the percentage of motorcycle owners who are women.

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주요 개념

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Confidence Interval

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the true population parameter with a specified level of confidence, such as 95%. In this case, the interval estimates the percentage of female motorcycle owners, indicating that we can be 95% confident that the true percentage lies between 17.5% and 20.6%.
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Introduction to Confidence Intervals

Point Estimate

A point estimate is a single value that serves as a best guess or approximation of a population parameter. In the context of the given confidence interval, the best point estimate for the percentage of female motorcycle owners can be calculated as the midpoint of the interval, providing a concise representation of the data.
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Introduction to Confidence Intervals

Population Proportion

The population proportion refers to the fraction of a population that possesses a certain characteristic, in this case, being female motorcycle owners. Understanding this concept is crucial for interpreting the confidence interval and point estimate, as it reflects the actual percentage of interest within the broader population of motorcycle owners.
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Constructing Confidence Intervals for Proportions
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