Textbook Question
E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics)
b. Is the value of 3.7% a statistic or parameter?
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Ch. 1 - Introduction to Statistics
Triola14th EditionElementary StatisticsISBN: 9780137366446
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Table of contents
- Ch. 1 - Introduction to Statistics88
- Ch. 2 - Exploring Data with Tables and Graphs70
- Ch. 3 - Describing, Exploring, and Comparing Data66
- Ch. 4 - Probability112
- Ch. 5 - Discrete Probability Distributions109
- Ch. 6 - Normal Probability Distributions122
- Ch. 7 - Estimating Parameters and Determining Sample Sizes107
- Ch. 8 - Hypothesis Testing75
- Ch. 9 - Inferences from Two Samples94
- Ch. 10 - Correlation and Regression80
- Ch. 11 - Goodness-of-Fit and Contingency Tables29
- Ch. 12 - Analysis of Variance42
Chapter 1, Problem 1.1.37
In Exercises 37–44, answer the given questions, which are related to percentages.
Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify “what is inappropriate in the workplace.” Of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace.
b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace?
Verified step by step guidance1
Identify the total number of respondents in the survey, which is given as 1000.
Determine the number of respondents who said that shorts are unacceptable in the workplace, which is given as 550.
To find the percentage of respondents who said that shorts are unacceptable, use the formula for percentage: \( \text{Percentage} = \left( \frac{\text{Number of respondents who said shorts are unacceptable}}{\text{Total number of respondents}} \right) \times 100 \).
Substitute the known values into the formula: \( \text{Percentage} = \left( \frac{550}{1000} \right) \times 100 \).
Simplify the expression to find the percentage of respondents who said that shorts are unacceptable in the workplace.
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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 express a number as a fraction of 100. To find the percentage of a subset within a total, you divide the number of individuals in the subset by the total number of individuals and then multiply by 100. For example, if 550 out of 1000 respondents find shorts unacceptable, the percentage is calculated as (550/1000) * 100, which equals 55%.
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Survey Sampling
Survey sampling involves selecting a subset of individuals from a larger population to gather insights or opinions. In this case, 1000 adults were surveyed to understand workplace attire preferences. The sample size should be representative of the population to ensure that the results can be generalized, and the methodology of selection can impact the validity of the findings.
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Interpreting Survey Results
Interpreting survey results requires understanding the context and implications of the data collected. In this scenario, knowing that 550 respondents find shorts unacceptable helps gauge workplace norms and attitudes. It is essential to consider factors such as sample size, response bias, and the phrasing of questions when drawing conclusions from survey data.
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Related Practice
Textbook Question
In Exercises 9–20, identify which of these types of sampling is used: random, systematic, convenience, stratified, or cluster.
Cormorant Density Cormorant bird population densities were studied by using the “line transect method” with aircraft observers flying along the shoreline of Lake Huron and collecting sample data at intervals of every 20 km (based on data from Journal of Great Lakes Research).
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Textbook Question
In Exercises 5–8, determine whether the given source has the potential to create a bias in a statistical study.
AAA The American Automobile Association (AAA) is a not-for-profit federation of motor clubs that provides automotive and travel services. AAA conducts a survey of its members about their use of public transportation versus private automobiles.
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Textbook Question
In Exercises 13–20, determine whether the data are from a discrete or continuous data set.
Fraud Detection While monitoring Internet traffic in order to detect fraudulent activity, a researcher records the interarrival times (sec) between incoming Internet queries.
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Textbook Question
In Exercises 33–36, identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block design, or matched pairs design.
Lunesta Lunesta is a drug designed to treat insomnia. In a clinical trial of Lunesta, amounts of sleep each night are measured before and after subjects have been treated with the drug.
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Textbook Question
In Exercises 21–28, determine which of the four levels of measurement (nominal, ordinal, interval, ratio) best describes the given data.
Areas of States A data set consists of the areas of each of the 50 United States.
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