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Mitchell Myers Professor Pilkington MATH 10140

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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

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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.

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

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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

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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.

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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.

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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.

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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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