sierram298
10.12.2019 •
Mathematics
Days before a presidential election, a nationwide random sample of registered voters was taken. based on this random sample, it was reported that "52% of registered voters plan on voting for robert smith with a margin of error of plus or minus±3%." the margin of error was based on a 95% confidence level. can we say with 95% confidence that robert smith will win the election if he needs a simple majority of votes to win? choose the correct answer below.
a. no, because the margin of error can never be more than 1%.
b. yes, because 50% is within the bounds of the confidence interval.
c. yes, since over 50% of the voters in the sample say they will vote for robert smith.
d. no, because 50% is within the bounds of the confidence interval.
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Ответ:
D. No, because 50% is within the bounds of the confidence interval.
Step-by-step explanation:
"52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus±3%"
This means that the 95% confidence interval for the percentage of people that plan on voting for Robert Smith is
(52-3 = 49%, 52+3 = 55%).
We can't say that he will win the election, because at the 95% confidence level, the proportion is not guaranteed to be above 50%.
So the correct answer is:
D. No, because 50% is within the bounds of the confidence interval.
Ответ:
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Step-by-step explanation: