A Gallup Poll Asked, "What Is Your Favorite Summer Olympics

question 39

Multiple Choice

A Gallup Poll asked, "What is your favorite Summer Olympics event?" Of the people asked, 27 percent said, "swimming." Here is what Gallup says about the accuracy of this poll:
The results are based on telephone interviews with a sample of 1007 national adults, aged 18 years and older. For results based on the total sample of national adults, one can say with 95 percent confidence that the maximum error attributable to sampling and other random effects is plus or minus 3 percentage points. In addition to sampling error, question wording and practical difficulties in conducting surveys can introduce error or bias into the findings of public opinion polls.
Which of these is a correct confidence statement based on this Gallup Poll, assuming there is no bias?

• A) Gallup is 95 percent confident that between 24 percent and 30 percent of all adults would say swimming is their favorite Summer Olympic event.
• B) Gallup is 95 percent confident that between 24 percent and 30 percent of the 1007 people interviewed would say swimming is their favorite Summer Olympic event.
• C) There is a 95 percent chance that the opinions of the 1007 people interviewed fairly represent the opinions of all adults.
• D) Among many samples, 95 percent will find that 27 percent of the people interviewed will say swimming is their favorite Summer Olympic event

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Definitions:

Direct Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other, or a decrease in one is associated with a decrease in the other.

Negative Correlation

An interdependence between two variables marked by the rise of one and the decline of the other.

Scatterplot

A type of graph that shows the relationship between two continuous variables by plotting their values as coordinates on a two-dimensional plane.

Weak Relationship

Refers to a situation where the correlation between two variables is low, indicating that they have little association with each other.