Question
For every football game there is a team that is expected to win by a certain number of points. In betting parlance, this is called
For every football game there is a team that is expected to win by a certain number of points. In betting parlance, this is called the spread. If point spreads are accurate, we would expect about half of all games played to result in the favored team winning (beating the spread) and about half of all games to result in the team favored to not beat the spread. The accompanying data represent the results of 45 randomly selected games where a 0 indicates the favored team did not beat the spread and a 1 indicates the favored team beat the spread. Do the data suggest that sport books establish accurate spreads?
The Spread Results: 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 1 0 0 1 1 0 .
Because np 0 left parenthesis 1 minus p 0 right parenthesisequals enter your response here greater than not equals equals less than 10, the sample size is greater than less than 5% of the population size, and the sample is given to be random, is given to not be random, can be reasonably assumed to be random, cannot be reasonably assumed to be random, the requirements for testing the hypothesis are not are satisfied. (Round to one decimal place as needed.)
Part 2 What are the null and alternative hypotheses? Upper H 0: mu sigma p equals less than not equals greater than enter your response here versus Upper H 1: mu sigma p equals greater than less than not equals enter your response here (Type integers or decimals. Do not round.)
Part 3 Find the sample proportion, ModifyingAbove p with caret. ModifyingAbove p with caretequals enter your response here (Round to three decimal places as needed.)
Part 4 Find the test statistic, z 0. z 0equals enter your response here (Round to two decimal places as needed.)
Part 5 Find the P-value. P-value equals enter your response here (Round to three decimal places as needed.)
Part 6 Do the data suggest that sport books establish accurate spreads? A. Reject Upper H 0. Although no level of significance is given, the data do not suggest the spreads are accurate. B. Reject Upper H 0. Although no level of significance is given, the data suggest the spreads are accurate. C. Do not reject Upper H 0. Although no level of significance is given, the data suggest the spreads are accurate. D. Do not reject Upper H 0. Although no level of significance is given, the data do not suggest the spreads are accurate.
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