Suppose a Random Sample of People from Your City Found

question 5

Multiple Choice

Suppose a random sample of people from your city found that 20% of the respondents own a cell phone, and the margin of error was 3%.In other words, you are confident that between 17% and 23% of all the people in your city own cell phones, based on this study.Suppose also that 1,000,000 people live in your city.Does this mean then that 200,000 people most likely own cell phones, plus or minus 30,000; or in other words, that between 170,000 and 230,000 people most likely own cell phones? (This was found by taking the results in percentage form and multiplying by the population size.)

• A)Yes.The math shows that.
• B)No.The margin of error in the latter case should be larger because you are dealing with the total number of people, not the percentage of people.
• C)No.The margin of error in the latter case should be smaller because you are dealing with the total number of people, not the percentage of people.
• D)None of the above.

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Definitions:

Linear Programming

A mathematical technique for optimizing a linear objective function, subject to linear equality and linear inequality constraints.

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Job vacancies within an organization that are available for recruitment.

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The systematic study of the human body's movement, often used in physical therapy, sports science, and ergonomics to enhance performance and prevent injury.

Chain Effect

A sequence of reactions or events triggered by an initial action, where each event acts as a cause for the next, often used to describe processes in various contexts.