The final scores of games of a certain sport were compared against the final point spreads established by odds makers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 240 games. The mean error is x=−0.8. The population standard deviation of the point-spread error σ= 11.2. Use this information to test the hypothesis that the true mean point-spread error for all games differs from 0. Conduct the test at α=0.01 and interpret the result.
-Determine the null and alternative hypotheses.
-The test statistic z
-The p-value=
-What is the appropriate conclusion at α=0.01?
A. Do not reject H0. There is insufficient evidence to conclude that the true mean point-spread error for all games differs from 0.
B. Do not reject H0. There is sufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
C. Reject H0. There is sufficient evidence to conclude that the true mean point-spread error for all games differs from 0.
D. Reject H0. There is insufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
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