In the upcoming election for governor,the most recent poll,based on 900 respondents,predicts that the incumbent will be reelected with 55 percent of the votes.What is
A).00825
B).0166
C).0247
D).0003

Question

In the upcoming election for governor,the most recent poll,based on 900 respondents,predicts that the incumbent will be reelected with 55 percent of the votes.What is 
A).00825 
B).0166 
C).0247 
D).0003

Quizplus · Accepted Answer

To find the margin of error, we use the formula:
Margin of Error = 1/sqrt(sample size) * 100%
Plugging in the values, we get:
Margin of Error = 1/sqrt(900) * 100% = 1/30 * 100% = 3.33%
To find the range of possible outcomes, we add and subtract the margin of error from the predicted result:
55% + 3.33% = 58.33%
55% - 3.33% = 51.67%
Therefore, the range of possible outcomes is 51.67% to 58.33%. To find the distance between these two numbers, we subtract them:
58.33% - 51.67% = 6.66%
Finally, we divide this distance by 2 to find the maximum amount the result could vary from the predicted result:
6.66%/2 = 3.33%
Therefore, the answer is B) 0.0166, which represents the maximum amount the result could vary from the predicted result.

In the Upcoming Election for Governor,the Most Recent Poll,based on 900