Write out your solutions and calculations carefully. Harris, in January 2008, po

Question

Write out your solutions and calculations carefully.

Harris, in January 2008, polled 1562 people 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. Include a graphic which illustrates the solution approach.
f) Find an exact Binomial 95% CI for the same quantity as e). You may use the applets from C&R. Include a graphic which illustrates the solution.
g) Discuss the differences between your answers in e) and f).
h) Repeat d – f, using a smaller study which polled 15 people and found that 2 people chose college football. Discuss the differences in your CIs for this smaller study.

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

a) Observational units are entities whose characteristics we measure.

people are the observational unit here.

b) Number of people in 2008 is population

c) variable of interest :

It's what you're testing. Are you determining the number of people that prefer coke to pepsi? Are you finding the average height of a population (variable = height) ? Are you finding the standard deviation of GPA in the school (variable - GPA)?

So, here VOI = number of people who follow particular sports

d) proportion of people who choose college football as their favorite sport = 469/1562 = 0.3003

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