Margin of Error

Margin of Error

What is Margin of Error?

​Instead we use Percentage

​Similar to Absolute Value Word Problems

Match

Match the following Percent to its corresponding Decimal

• 52.3%

• 5.23%

• 50%

• 0.523%

• 5%

0.523

0.0523

0.5

0.00523

0.05

• 0.523

• 0.0523

• 0.5

• 0.00523

• 0.05

Practice Problem

​Let's see how this looks in a word problem

According to a survey, 52% of female high school students work at an after-school job. The survey had a margin of error of ±2.3%. Of the estimated 14,353 female high schoolers in Jacksonville, how many work an after school job?

Multiple Select

The first step in solving a MOE (margin of error) problem is to convert your percentages to decimals and find your 2 new percentages.

You do this by taking your TOTAL percent (52% of females) and adding/subtracting the MOE (±2.3%).

What are the 2 new decimal numbers you have computed?

• 49.7

• 0.497

• 54.3

• 0.543

Fill in the Blanks

Now take your TOTAL (14,343 female students) and MULTIPLY by the MOE decimals you computed in the last slide (0.497 and 0.543)

What is the range of female students that have an after school job?

Type your answer from least - greatest.

Fill in the Blanks

According to a survey, 12.3% of men over the age of 30 in Duval County work two or more jobs. The survey had a margin of error of $\frac{+}{-}$ 1.9%. Of the estimated 35,000 men over the age of 30 in Duval, how many would you expect to work two or more jobs?

Write your answer least to greatest