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Ch. 1 - Introduction to Statistics
Triola - Elementary Statistics 14th Edition
Triola14th EditionElementary StatisticsISBN: 9780137366446Not the one you use?Change textbook
Chapter 1, Problem 1.R.8.b

Percentages
b. In a Pew Research Center poll on driving, 58% of the 1182 respondents said that they like to drive. What is the actual number of respondents who said that they like to drive?

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1
Identify the percentage of respondents who said they like to drive, which is 58%.
Identify the total number of respondents, which is 1182.
To find the actual number of respondents who like to drive, multiply the total number of respondents by the percentage (expressed as a decimal).
Convert the percentage to a decimal by dividing by 100. So, 58% becomes 0.58.
Multiply the total number of respondents (1182) by the decimal form of the percentage (0.58) to find the actual number of respondents who like to drive.

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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 involves determining a part of a whole expressed as a fraction of 100. In this context, it is used to find the number of respondents who like to drive by applying the percentage (58%) to the total number of respondents (1182). The formula is: (percentage/100) * total number.
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Sample Size

Sample size refers to the number of observations or respondents in a survey or poll. It is crucial for ensuring the reliability and validity of statistical results. In this question, the sample size is 1182, which represents the total number of people surveyed about their driving preferences.
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Polls and Surveys

Polls and surveys are methods of collecting data from a sample of individuals to infer opinions or behaviors of a larger population. They are essential for understanding public sentiment on various topics, such as driving preferences in this case, where 58% of respondents expressed their liking for driving.
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Related Practice
Textbook Question

Sampling For each of the following, identify the term that best describes the type of sample: systematic, convenience, stratified, cluster, or simple random sample.


d. A statistics student creates a survey and presents it to fellow statistics students.

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Textbook Question

State Populations Currently, California has the largest population with 39,776,830 residents, and Wyoming has the smallest population with 573,520 residents.


a. Are the population sizes of the different states discrete or continuous?

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Textbook Question

Paying for First Dates USA Today posted this question on the electronic version of its newspaper: “Should guys pay for the first date?” Of the 1148 subjects who decided to respond, 85% of them said “yes.”


c. Does the survey constitute an experiment or an observational study?

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Textbook Question

Percentages

c. In a Pew Research Center poll on driving, 331 of the 1182 respondents said that driving is a chore. What percentage of respondents said that driving is a chore?

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Textbook Question

Percentages

a. The labels on U-Turn protein energy bars include the statement that these bars contain “125% less fat than the leading chocolate candy brands” (based on data from Consumer Reports magazine). What is wrong with that claim?

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Textbook Question

Types of Data In each of the following, identify the level of measurement of the sample data (nominal, ordinal, interval, ratio) and the type of sampling used to obtain the data (random, systematic, convenience, stratified, cluster).


b. In each of the 50 states, 50 voters are randomly selected and their political party affiliations are identified.

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