Political pundits talk about the​ "bounce" that a presidential candidate gets after his​ party's convention. In the past 40​ years, it has averaged about 6 percentage points. Just before a recent​ convention, a random poll of 1300 likely voters found that 51​% favored a particular candidate. Just​ afterward, another random sample of 1300 likely voters found that 53​% favored that candidate.​ That's a two percentage point​ increase, but the pollsters claimed that there was no bounce. Explain. Let population 1 correspond to likely voters that favored the candidate after the convention and population 2 correspond to likely voters that favored the candidate before the convention. Find and interpret the 95​% confidence interval for the difference between the percentages of likely voters that favored the candidate​ (population 1−population ​2). Select the correct answer below and fill in the answer boxes within your choice. ​(Use ascending order. Round to one decimal place as​ needed.)   A. Since the 95​% confidence interval ​(nothing​%,nothing​%) does not contain​ 0%, it is plausible that the bounce is zero. The pollsters should have instead claimed that there was no evidence of a bounce.   B. Since the 95​% confidence interval ​(nothing​%,nothing​%) does not contain​ 0%, it is not plausible that the bounce is zero. The pollsters should have instead claimed that there was sufficient evidence of a bounce.   C. Since the 95​% confidence interval ​(nothing​%,nothing​%) contains​ 0%, it is plausible that the bounce is zero. The​ pollsters' claim that there was no bounce may be correct.

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Political pundits talk about the​ "bounce" that a presidential candidate gets after his​ party's convention. In the past 40​ years, it has averaged about 6 percentage points. Just before a recent​ convention, a random poll of
1300
likely voters found that
51​%
favored a particular candidate. Just​ afterward, another random sample of
1300
likely voters found that
53​%
favored that candidate.​ That's a
two
percentage point​ increase, but the pollsters claimed that there was no bounce. Explain.
Let population 1 correspond to likely voters that favored the candidate after the convention and population 2 correspond to likely voters that favored the candidate before the convention. Find and interpret the
95​%
confidence interval for the difference between the percentages of likely voters that favored the candidate​ (population
1−population
​2). Select the correct answer below and fill in the answer boxes within your choice.
​(Use ascending order. Round to one decimal place as​ needed.)
 
A.
Since the
95​%
confidence interval
​(nothing​%,nothing​%)
does not contain​ 0%, it is plausible that the bounce is zero. The pollsters should have instead claimed that there was no evidence of a bounce.
 
B.
Since the
95​%
confidence interval
​(nothing​%,nothing​%)
does not contain​ 0%, it is not plausible that the bounce is zero. The pollsters should have instead claimed that there was sufficient evidence of a bounce.
 
C.
Since the
95​%
confidence interval
​(nothing​%,nothing​%)
contains​ 0%, it is plausible that the bounce is zero. The​ pollsters' claim that there was no bounce may be correct.
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