The final scores of games of a certain sport were compared against the final poi

Question

The final scores of games of a certain sport were compared against the final point spreads established by oddsmakers. The difference between the game outcome and point spread (cal led a point-spread error) was calculated for 215 games. The sample mean and sample standard deviation of the point-spread errors are X- 1.2 and s 129. Use this information to test the hypothesis that the true mean point-spread error for all games is larger than 0. Conduct the test ata 0.01 and interpret the result Determine the null and alternative hypotheses. Choose the correct answer below. Find the test statistic z= (Round to two decimal places as needed.) Determine the rejection region. Choose the correct answer below. OA. z. 2.575 O C. z 2.33 OE. z 2.575 or z 2.33 or z2.575 O A. Reect Ho There is insufficient evidence to conclude that the true mean point-spreaderor for al games is larger than 0 O B. Do not reject Hg. There is insufficient evidence to conclude that the true mean point-spread error for all games is larger than 0. O C. Do not reject Hr There is sufficient evidence to conclude that the true mean point-spread error for all games is larger than 0. O D. Reect Ho There is sufficient evidence to conclude that the true mean point-spread error for all games is large than 0

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 0
HA : > 0
Standard deviation = 12.9

Hypothesis test results:

Hence,

Null and Alternative hypotheses: Option A is correct.

Test statistic (z) = 1.36

Rejection Region: z > 2.33; Option C is correct.

Conclusion: Do not reject Ho. Option B is correct.

Mean n Sample Mean Std. Err. Z-Stat P-value 215 1.2 0.8797727 1.3639887 0.0863

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