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Section I: Multiple Choice Select the best answer for each question. The Gallup Poll

Chapter 8, Problem T8.1

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QUESTION:

The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: The poll had a margin of error of plus or minus three percentage points at a 95% confidence level. You can safely conclude that

(a) 95% of all Gallup Poll samples like this one give answers within 3% of the true population value.

(b) the percent of the population who jog is certain to be between 15% and 21%.

(c) 95% of the population jog between 15% and 21% of the time.

(d) we can be 95% confident that the sample proportion is captured by the confidence interval.

(e) if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.

Questions & Answers

QUESTION:

The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: The poll had a margin of error of plus or minus three percentage points at a 95% confidence level. You can safely conclude that

(a) 95% of all Gallup Poll samples like this one give answers within 3% of the true population value.

(b) the percent of the population who jog is certain to be between 15% and 21%.

(c) 95% of the population jog between 15% and 21% of the time.

(d) we can be 95% confident that the sample proportion is captured by the confidence interval.

(e) if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.

ANSWER:

Step 1 of 2

Given that,

The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: The poll had a margin of error of plus or minus three percentage points at a 95% confidence level.

 

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