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 1400 likely voters found that 48% favored a particular candidate. Just afterward, another random sample of 1400 likely voters found that 51% favored that candidate. That's a three 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.) O A. Since the 95% confidence interval ( %. %) 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. O B. Since the 95% confidence interval %, %) contains 0%, it is plausible that the bounce is zero. The pollsters' claim that there was no bounce may be correct. O c. Since the 95% confidence interval ( %, %) 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.

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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 1400 likely voters found that 48%
favored a particular candidate. Just afterward, another random sample of 1400 likely voters found that 51% favored that candidate. That's a three 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 ( %,
%) 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 ( %,
%) contains 0%, it is plausible that the bounce is zero. The pollsters' claim that there was no bounce may be correct.
O C. Since the 95% confidence interval ( %,
%) 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.
Transcribed Image Text: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 1400 likely voters found that 48% favored a particular candidate. Just afterward, another random sample of 1400 likely voters found that 51% favored that candidate. That's a three 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 ( %, %) 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 ( %, %) contains 0%, it is plausible that the bounce is zero. The pollsters' claim that there was no bounce may be correct. O C. Since the 95% confidence interval ( %, %) 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.
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