In 2012 the New York Times surveyed adults about whether they had gone back to s

Question

In 2012 the New York Times surveyed adults about whether they had gone back to school for additional training and, if so, whether they felt this training helped them get new jobs or promotions. In the article that presented the results, the newspaper included the following information: "The nationwide telephone poll was conducted May 31 to June 3 with 976 adults, of whom 229 said they went to school in the last five years. Margin of sampling error for all adults is plus or minus 3 percentage points; for adults who went back to school, plus or minus 6 percentage points. Of those who went back to school, 84% reported that the training was a good investment of time and money." What is the most logical reason for the larger margin of error that was indicated for results about adults who went back to school? A) The researchers used a smaller confidence level. B) The researchers used a larger confidence level. C) The sample size was smaller. D) The sample size was larger.

Explanation / Answer

The margin of error is the term = Z*Sigma/sqrt(n)

It depdends inveserly on sqaure root of sample, as you can see in sample size.

Mathematically, it makes sense that more is the sample size, with more confidence will you able to say that your point esimate is going to be in the same interval. Hence, a larger margin of error was due to the smaller sample size of aduts who went back to school( i.e. it is 229 for adults abck to school)

Hence, D is the answer.

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