Question

A random sample of 400 town voters was asked if they plan to vote for Candidate A or Candidate B for mayor. The results were sorted by gender and are shown in the table below.

Plan to vote for Candidate A

Female: 202

Male: 34

Plan to vote for Candidate B

Female: 20

Male: 144

The town has a total of 6000 voters. Based on the table, what is the best estimate of the number of voters who plan to vote for Candidate A? Wouldnt the answer be 4% because the total about of Candidate A voters is 236 and by dividing 236 from the total amount of voters, 6000, you get 0.039(3...), which when multiplied by 100 is 3.93, which is about 4%.

Answer 1

Sample: 400

Candidate A: 236 voters

Percentage: 236 / 400 = 0.59

Now what is 59% of 6000

0.59 * 6000 = 3540

Answer: 3540 people voted for Candidate A.

Hope This Helps :)

Answer 2

the gender is irrelevant to finding the estimate, it ask how many voters are likely to vote, not how many women or men

anyway, we find what percent are likely to vote for candidate A, you need to look only in the sample

that percent is equal to (number of people who plan to vote for A)/(total number of people in the sample)

note: number of pepole in sample≠people who voted for A+people who voted for B, so you can't just do that

percent that are likely to vote for A is equal to (202+34)/(400)=59/100=59% plan to vote for candiate A

so we need to ind 59% of 6000

59% of 6000=0.59*6000=3540