A poll is conducted the day before a state election for Senator. There are only two candidates running for this office. The poll results show that ?% of the voters favor the Republican? candidate, with a margin of error of percentage points. Should the Republican expect to? win? Why or why? not?

Choose the correct answer below.

A. The results suggest that the Republican is likely to win a solid majority because he or she will most likely get between ?% and ?% of the vote.

B. The results suggest that the Republican is not likely to win a solid majority? because, when the margin of error is taken into? account, he or she will most likely not get the majority of the vote.

C. The results suggest that the Republican is just as likely to win or lose the election because ?% is very close to? 50%.

If this is the complete question:

A poll is conducted the day before a state election for Senator. There are only two candidates running for this office. The poll results show that ?59.59?% of the voters favor the Republican? candidate, with a margin of error of 3.03 percentage points. Should the Republican expect to? win? Why or why? not?

Then the answer would be:

A. The results suggest that the Republican is likely to win a solid majority because he or she will most likely get between 56.56?%

and 62.62?% of the vote.

The confidence interval of the likelihood of the Republican to win is given by:

(poll result - margin of error , poll result + margin of error)

The poll result has shown that 59.59% with a margin of error of 3.03%. Therefore our confidence interval would be:

(59.59% - 3.03%, 59.59% + 3.03%)

(56.56%, 62.62%)

This confidence interval shows us the likelihood of the Republican winning in a range of percentage. The real number of votes on the election day will likely to fall on this range of percentage. Since the confidence interval shows that the Republican have the majority of votes (greater than 50%), he is likely to win.

*If the set of values I have given is not the one you are asking, just follow how I solve for the confidence interval and see it has values greater than 50% (see how close or far they are from 50%).