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Chapter 8: Q.1 (page 524)

The Gallup Poll interviews 1600people. 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卤3%of the true population value.

(b) the percent of the population who jog is certain to be between 15%and21%.

(c) 95%of the population jog between5%and21%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.

Short Answer

Expert verified

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

Step by step solution

01

Step-1 Given Information 

Given in the question that,

Number of people(n)=1600

Margin of error=卤3%

sample proportion=18%we have to find the correct option.

02

Step-2 Explanation

The margin of error is expected to remain identical for all the confidence intervals because the size of the sample is identical and there would be 95%of the samples that are expected to contain the true value of the population.

Hence, the correct option is (a).

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Most popular questions from this chapter

High tuition costs Glenn wonders what proportion of the students at his school think that tuition is too high. He interviews an SRS of 50 of the 2400 students at his college. Thirty-eight of those interviewed think tuition is too high.

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