Question

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. a. What is $70 \%$ of $1000 ?$ 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?

Name: Problem 29, Chapter 1: Essentials of Statistics
Uploaded: 2022-09-09T20:13:07-08:00
Channel: Emily Himsel

    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.
a. What is $70 \%$ of $1000 ?$
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?

Essentials of Statistics

Mario F. Triola 6th Edition

Chapter 1, Problem 29

Instant Answer

Solved by Expert Emily Himsel

09/09/2022

Step 1

We can use the formula for finding the percentage of a number, which is $\frac{percentage}{100} = \frac{part}{whole}$. In this case, the percentage is $70 \%$, the whole is $1000$, and we are looking for the part. So we have $\frac{70}{100} = \frac{x}{1000}$. Show more…

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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. a. What is $70 \%$ of $1000 ?$ 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?

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Key Concepts

Percentage

A percentage represents a fraction of 100 and is used to express proportions in a standardized form. It allows for easy comparison between different quantities on a common scale.

Calculating a Percentage of a Quantity

This concept involves finding a given percent of a total by multiplying the total by the percentage expressed as a decimal. It is commonly used to determine the specific number of items represented by a percentage in a whole.

Converting a Count to a Percentage

This process involves determining what percent a part is of the whole by dividing the part by the total and multiplying by 100. It is useful for interpreting statistical data and survey results by providing a clear, comparative measure.

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