# Mitchell Myers Professor Pilkington MATH 10140. Project Type: A The following question was sent in an e-mail to all males in Keough 2B: Please choose.

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Mitchell Myers Professor Pilkington MATH 10140

Project Type: A The following question was sent in an e-mail to all males in Keough 2B: Please choose one of the following as the sport you most enjoy watching on television: Football Basketball Baseball Tennis Hockey Other

Non-response: This bias was expected, but it was acceptable because the question was sent to the entire population of interest. A large enough portion of the population responded to give an appropriate sample. Selection: This was not a problem because the question was sent to the entire population of interest. Measurement error: This was assumed to not be a problem because my tallying skills are competent.

n = 30 Football – 10 Basketball – 4 Baseball – 3 Tennis – 2 Hockey – 4 Other – 8

p = proportion of interest in the sample n = 30 For football: 0 p-3 σ < p+3 σ 1 0 0.333-3(0.086) < 0.333+3(0.086) 1 0 0.075 < 0.591 1

n = 30 p = proportion of interest in the sample Football: p = 0.333 I am 80% confident that the proportion of males in Keough 2B who enjoy watching football on television more than any other sport is between 0.223015 and 0.44358. Tennis: p = 0.0667 I am 99.9% confident that the proportion of males in Keough 2B who enjoy watching tennis on television more than any other sport is between -0.0832 (essentially 0) and 0.2165. Other: p = 0.2667 I am 60% confident that the proportion of males in Keough 2B who enjoy watching a sport other than football, basketball, baseball, tennis, or hockey most on television is between 0.1987 and 0.3346.

No problematic biases arose. The results met my expectations in that football received the most votes. Some people did not answer the email but sufficient participation numbers were met after a door to door survey of those who did not answer the email. A change I would have made is excluding less popular sports like tennis from the choices and adding more popular sports like soccer.

Mean: A mean could not be found from this experiment because no matter how the numbers were distributed, the mean would remain 5. Median: 4 Mode: 4 Standard deviation: The standard deviation from the assumed mean of 5 was 2.5.

The experiment was a success and told me what kind of sports my 2B friends enjoy watching on television. I might redo this project with an open ended question allowing all sports as an answer in order to get numbers for a wider variety of sports. Because of random rooming, this experiment could most likely be applied to at least all males at Notre Dame, which shows why football is such a popular sport at our school.

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