Question

A poll was conducted to determine the level of support within a large suburban school district for the construction of a new football stadium. Of the 655 people who were surveyed, 57% said they would support spending the money to construct the stadium. The poll had a margin of error of 4%. Which is the correct interpretation for this margin of error

Answer 1

The correct interpretation of this margin of error is for that the entire population, the percentage of people who would support spending the money to construct the stadium should differ 4%(plus/minus) from 57%, that is, it should be between 57 - 4 = 53% and 57 + 4 = 61%.

Explanation:

Margin of error:

The interpretation of a margin of error is that it tells how many percentage points the result found in a sample will differ from the population result.

Of the 655 people who were surveyed, 57% said they would support spending the money to construct the stadium. The poll had a margin of error of 4%. Which is the correct interpretation for this margin of error?

The correct interpretation of this margin of error is for that the entire population, the percentage of people who would support spending the money to construct the stadium should differ 4%(plus/minus) from 57%, that is, it should be between 57 - 4 = 53% and 57 + 4 = 61%.