Question

A survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%. According to the survey data, at least % of students want the duration of the school year to remain unchanged, and at least % want the school year to be lengthened. NextReset

Answer 1

The margin of error of a given statistic is an amount that is allowed for in case of miscalculation or change of circumstances.

It is usually the radius or half of the width of the confidence interval of that statistic.

Given that a survey of the students in Lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. The margin of error of the survey is ±10%.

This means that 58% ± 10% of the respondents want the school year lengthened, while 42% ± 10% think it should remain the same.

Thus, from 48% to 68% of the respondents want the school year lengthened, while from 32% to 52% think it should remain the same.

Therefore, according to the survey data, at least 32% of students want the duration of the school year to remain unchanged, and at least 48% want the school year to be lengthened.