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?
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1
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%.
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.
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.