In a USA TODAYGallup Poll respondents favored Barack Obama o

In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles Times, July 28, 2012).

What percentage of respondents favored neither Obama nor Romney in terms of likeability?

For a given survey of 500, how many more respondents favored Obama than Romney?

Solution

(a)

The percentage of respondents favored neither Obama nor Romney in terms of likeability is

100%-(61%+32%)=7%

Percentage of respondents: 7%

(b)

Percentage of more respondents favored Obama than Romney is 61%-32%=29%

So number of more respondents favored Obama than Romney will be

0.29*500=145

So number of respondents = 145