Question

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 9 ​hours, technology output shows that the hypothesis test has power of 0.4089 of supporting the claim that muless than9 hours of sleep when the actual population mean is 7.0 hours of sleep. Interpret this value of the​ power, then identify the value of beta and interpret that value. Interpret this value of the power. A. The chance of recognizing that muless than9 hours is not very high when in reality muequals7.0 hours. B. The chance of failing to recognize that muless than9 hours is not very high when in reality muequals7.0 hours. C. The chance of recognizing that muless than9 hours is very high when in reality muequals7.0 hours. D. The chance of failing to recognize that muequals7.0 hours is not very high when in reality muequals7.0 hours. Identify the value of beta and interpret that value. Select the correct choice below and fill in the answer box to complete your choice. ​(Round to four decimal places as​ needed.) A. The value betaequals nothing indicates that there is a less than​ 50% chance of failing to recognize that muless than9 hours when in reality muequals7.0 hours. B. The value betaequals nothing indicates that there is a greater than​ 50% chance of incorrectly recognizing that muless than9 hours when in reality muequals9 hours. C. The value betaequals nothing indicates that there is a greater than​ 50% chance of failing to recognize that muless than9 hours when in reality muequals7.0 hours. D. The value betaequals nothing indicates that there is a less than​ 50% chance of incorrectly recognizing that muless than9 hours when in reality muequals9 hours.

Answer 1