Question

A random sample of likely voters showed that 35% planned to vote for Candidate A, with...

A random sample of likely voters showed that 35% planned to vote for Candidate A, with a margin of error of 2% points and with 90% confidence.

Which of the following statements best describes the confidence interval for the percentage of voters who plan to vote for Candidate A.

I am 90% confident that the population percentage of voters supporting Candidate A is between 33% and 37%.
I am 90% confident that the population percentage of voters supporting Candidate A is between 33% and 39%
I am 90% confident that the population percentage of voters not supporting Candidate A is between 33% and 37%.
I am 90% confident that the population percentage of voters supporting Candidate A is between 31% and 39%
Math   Statistics-And-Probability   
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Answer #1

Answer :-

Given,

=35% , ME= 2%

99% confidence interval is,

( - ME , + ME) = ( 35% - 2% , 35% + 2% ) = ( 33% , 37%)

Conclusion:-

I am 90% confident that the population percentage of voters supporting Candidate A is between 33% and 37%.

Option A is correct.

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