In March 2008, 1562 people were polled who follow one or more sports and found t
ID: 2925177 • Letter: I
Question
In March 2008, 1562 people were polled who follow one or more sports and found that 469 say that professional football is their favorite. Second place goes to baseball, with 234 people. College football was chosen by 187 people and the rest said that auto racing was their favorite.
a) What is the observational unit?
b) What is the population?
c) What is the variable of interest and what type of variable is it?
d) Find the sample proportion of people who choose college football as their favorite sport.
e) Find an approximate 95% CI, using the Normal approximation, of the population proportion of people who choose college football as their favorite sport. Use a graphic to illustrate the solution approach.
f) Find an exact Binomial 95% CI for the same quantity as e).
Explanation / Answer
a)
The observational units are the people being polled.
b)
Population are the people being polled. They are 1562 in number.
c)
Variable of interest is people who follow one or more sports.
d)
187/1562=0.1197=11.97%
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