Proportions and Voter Predictions

The video tutorial explains how to calculate the proportion of voters who support candidate Brown in an upcoming Raleigh city council election. It uses a sample of 600 voters, where 331 support Brown. The tutorial demonstrates two methods to estimate the total number of votes Brown might receive from the 8,800 registered voters: a direct calculation using the sample proportion and a proportion method involving cross-multiplication. Both methods yield an estimated 4,855 votes for Brown, rounded to the nearest whole number.

How many registered voters are there in Raleigh?

• 8,600

• 8,000

• 6,000

• 8,800

How many voters were undecided in the telephone poll?

• 18

• 251

• 600

• 331

What is the fraction representing the proportion of voters who said they'd vote for Brown?

• 600/331

• 331/600

• 251/600

• 18/600

What is the decimal equivalent of the fraction 331/600?

• 0.5517

• 0.331

• 0.600

• 0.251

What is the estimated number of total registered voters expected to vote for Brown?

• 4,500

• 4,800

• 5,000

• 4,855

What is the rounded number of voters expected to vote for Brown?

• 4,854

• 4,853

• 4,856

• 4,855

What is the first step in using a proportion to solve for the expected number of voters for Brown?

• Set up a proportion

• Multiply by 8,800

• Cross multiply

• Divide by 600

What is the result of cross-multiplying in the proportion method?

• 2,812,800

• 2,912,800

• 1,912,800

• 3,912,800

What is the final step in solving for X using the proportion method?

• Divide by 600

• Add 600

• Multiply by 600

• Subtract 600

What is the approximate decimal result of dividing 2,912,800 by 600?

• 4,856.67

• 4,855.67

• 4,854.67

• 4,853.67