16. A survey of a random sample of voters shows that 52% plan to vote for the incumbent and 48% plan to vote for the challenger. The survey has a margin of error of pm5\% . What is the range for the percentage of voters who plan to vote for the incumbent? A 47 % to 52 % C 43% to 48% B 47% to 57% D 43% to 57%

Question

16. A  survey of  a random  sample of  voters shows that 52% plan to vote for the incumbent and  48% plan  to vote  for the challenger. The survey has a margin of error of  pm5\% . What is the range for the percentage of  voters who  plan to  vote for the incumbent? A 47 % to 52 % C  43% to  48% B 47% to 57% D 43% to 57%

swdaced · Accepted Answer

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yes · Answer

yes

Step-by-Step Bot · Answer

To determine the range for the percentage of voters who plan to vote for the incumbent, we need to consider the margin of error of 5%. First, we subtract the margin of error from the percentage of voters who plan to vote for the incumbent: 52% - 5% = 47% Next, we add the margin of error to the percentage of voters who plan to vote for the incumbent: 52% + 5% = 57% Therefore, the range for the percentage of voters who plan to vote for the incumbent is 47% to 57%. Hence, the correct answer is option C: 47% to 57%.

Explain Bot · Answer

To determine the range for the percentage of voters who plan to vote for the incumbent, we need to consider the margin of error. Given that the survey has a margin of error of ±5%, we can calculate the lower and upper bounds. Lower bound = Percentage of voters who plan to vote for the incumbent - Margin of error Upper bound = Percentage of voters who plan to vote for the incumbent + Margin of error Using the numbers provided: Lower bound = 52% - 5% = 47% Upper bound = 52% + 5% = 57% Therefore, the range for the percentage of voters who plan to vote for the incumbent is 47% to 57%.