Question

The final scores of games of a certain sport were compared against the final point spread established by odds makers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 210 games. The mean error is \(\bar{x} = -0.9\). The population standard deviation of the point-spread error is 12.8. Use this information to test the hypothesis that the true mean point-spread error for all games differs from 0. Conduct the test at \(\alpha = 0.01\) and interpret the result. Determine the null and alternative hypotheses. Choose the correct answer below. A. \(H_0: \mu_D = 0\) \(H_1: \mu_D \ne 0\) B. \(H_0: \mu_D \le 0\) \(H_1: \mu_D > 0\) C. \(H_0: \mu_D \ge 0\) \(H_1: \mu_D < 0\) D. \(H_0: \mu_D = 0\) \(H_1: \mu_D \ne 0\) The test statistic Z = (Round to two decimal places as needed.) The p-value = (Round to three decimal places as needed.) What is the appropriate conclusion at \(\alpha = 0.01\)? A. Reject \(H_0\). There is insufficient evidence to conclude that the sample mean point-spread error for all games differs from 0. B. Do not reject \(H_0\). There is insufficient evidence to conclude that the true mean point-spread error for all games differs from 0. C. Do not reject \(H_0\). There is sufficient evidence to conclude that the sample mean point-spread error for all games differs from 0. D. Reject \(H_0\). There is sufficient evidence to conclude that the true mean point-spread error for all games differs from 0.

          The final scores of games of a certain sport were compared against the final point spread established by odds makers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 210 games. The mean error is \(\bar{x} = -0.9\). The population standard deviation of the point-spread error is 12.8. Use this information to test the hypothesis that the true mean point-spread error for all games differs from 0. Conduct the test at \(\alpha = 0.01\) and interpret the result.

Determine the null and alternative hypotheses. Choose the correct answer below.

A. \(H_0: \mu_D = 0\)
\(H_1: \mu_D \ne 0\)

B. \(H_0: \mu_D \le 0\)
\(H_1: \mu_D > 0\)

C. \(H_0: \mu_D \ge 0\)
\(H_1: \mu_D < 0\)

D. \(H_0: \mu_D = 0\)
\(H_1: \mu_D \ne 0\)

The test statistic Z =  (Round to two decimal places as needed.)

The p-value =  (Round to three decimal places as needed.)

What is the appropriate conclusion at \(\alpha = 0.01\)?
A. Reject \(H_0\). There is insufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
B. Do not reject \(H_0\). There is insufficient evidence to conclude that the true mean point-spread error for all games differs from 0.
C. Do not reject \(H_0\). There is sufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
D. Reject \(H_0\). There is sufficient evidence to conclude that the true mean point-spread error for all games differs from 0.

The final scores of games of a certain sport were compared against the final point spread established by odds makers. The difference between the game outcome and point spread (called a point-spread error) was calculated for 210 games. The mean error is x̅ = -0.9. The population standard deviation of the point-spread error is 12.8. 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. Choose the correct answer below.

A. H0: = 0
H1: 0

B. H0: ≤ 0
H1: > 0

C. H0: ≥ 0
H1: < 0

D. H0: = 0
H1: 0

The test statistic Z = (Round to two decimal places as needed.)

The p-value = (Round to three decimal places as needed.)

What is the appropriate conclusion at α = 0.01?
A. Reject H0. There is insufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
B. Do not reject H0. There is insufficient evidence to conclude that the true mean point-spread error for all games differs from 0.
C. Do not reject H0. There is sufficient evidence to conclude that the sample mean point-spread error for all games differs from 0.
D. Reject H0. There is sufficient evidence to conclude that the true mean point-spread error for all games differs from 0.

Added by Michael K.

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