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.

Question

Quizplus · Accepted Answer

The calculation correctly applies the percentage and margin of error to the total population, resulting in an accurate range of the number of people who own cell phones.

Suppose a Random Sample of People from Your City Found