Question

A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 ​respondents, 11​% chose chocolate​ pie, and the margin of error was given as plus or minus5 percentage points. Describe what is meant by the statement that​ "the margin of error was given as plus or minus5 percentage​ points." Choose the correct answer below.

A. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%plus or minus5​%.

B. The statement indicates that the interval 11​%plus or minus5​% is likely to contain the true population percentage of people that prefer chocolate pie.

C. The statement indicates that the study is only 5​% confident that the true population percentage of people that prefer chocolate pie is exactly 11​%.

D. The statement indicates that the study is ​100%minus5​%equals95​% confident that the true population percentage of people that prefer chocolate pie is 11​%

Answer 1

Answer is

A. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%plus or minus5​%.

Because,

1)The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

2) following example will illustrate u this concept well.

Suppose you know that 51% of people sampled say that they plan to vote for Ms. Calculation in the upcoming election. Now, projecting these results to the whole voting population, you would have to add and subtract the margin of error and give a range of possible results in order to have sufficient confidence that you’re bridging the gap between your sample and the population. Supposing a margin of error of plus or minus 3 percentage points, you would be pretty confident that between 48% (= 51% – 3%) and 54% (= 51% + 3%) of the population will vote for Ms.