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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.c

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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1
Identify the total number of respondents, which is given as 1182.
Identify the number of respondents who said that driving is a chore, which is given as 331.
To find the percentage, use the formula: \( \text{Percentage} = \left( \frac{\text{Number of respondents who said driving is a chore}}{\text{Total number of respondents}} \right) \times 100 \).
Substitute the given values into the formula: \( \text{Percentage} = \left( \frac{331}{1182} \right) \times 100 \).
Calculate the division and then multiply by 100 to find the percentage of respondents who said that driving is a chore.

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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 what portion of a whole is represented by a specific part. It is calculated by dividing the part by the whole and then multiplying the result by 100. In this context, it helps to find out what percentage of respondents view driving as a chore.
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Sample Size

Sample size refers to the number of observations or respondents included in a survey or study. It is crucial for ensuring that the results are representative of the larger population. In this question, the sample size is 1182, which is the total number of respondents surveyed by the Pew Research Center.
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Survey Data Interpretation

Survey data interpretation involves analyzing responses to understand trends, opinions, or behaviors within a population. It requires careful consideration of the data collected, such as the number of respondents and their answers, to draw meaningful conclusions. Here, interpreting the data involves determining the proportion of respondents who consider driving a chore.
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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

In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation.


(0.2)^12

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Textbook Question

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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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?

254
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Textbook Question

In Exercises 9–12, the given expressions are designed to yield results expressed in a form of scientific notation. For example, the calculator-displayed result of 1.23E5 can be expressed as 123,000, and the result of 1.23E-4 can be expressed as 0.000123. Perform the indicated operation and express the result as an ordinary number that is not in scientific notation.


(8)^12

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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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