A tv newscaster reports the results of a poll of voters, and then says, "the margin of error is plus or minus 3 %." explain carefully what that means.

Question

Mia Doyle

Mathematics

16 October, 14:13

A tv newscaster reports the results of a poll of voters, and then says, "the margin of error is plus or minus 3 %." explain carefully what that means.

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Klein · Answer 1

A. The true proportion is within 3% of her estimate, with some degree of confidence.

Completed question:

A TV newscaster reports the results of a poll of voters, and then says, "The margin of error is plus or minus 3%." Explain carefully what that means.

A. The true proportion is within 3% of her estimate, with some degree of confidence.

B. The proportion of the population who voted for one candidate is 3% less than the percent of the population who voted for the other candidate.

C. The sample proportion is within 3% of her estimate, with some degree of confidence.

D. It means that 3% of the polls are invalid.

Step-by-step explanation:

Margin of error can be defined as the maximum expected difference between the true value of a parameter and the estimated value.

In the case above, a tv newscaster reports the results of a poll of voters, and then says, "the margin of error is plus or minus 3 %", according to the definition of margin of error, the maximum expected difference between the true proportion and the estimated proportion is 3%. Which means that the true proportion is within 3% of her estimate, with some degree of confidence