For a hypothesis test of the claim that the mean amount of sleep for adults is less than 66 ​hours, technology output shows that the hypothesis test has power of 0.43950.4395 of supporting the claim that muμless than<66 hours of sleep when the actual population mean is 4.04.0 hours of sleep. interpret this value of the​ power, then identify the value of betaβ and interpret that value. interpret this value of the power.
a. the chance of recognizing that muμless than<66 hours is not very high when in reality muμequals=4.04.0 hours.
b. the chance of failing to recognize that muμequals=4.04.0 hours is not very high when in reality muμequals=4.04.0 hours.
c. the chance of recognizing that muμless than<66 hours is very high when in reality muμequals=4.04.0 hours.
d. the chance of failing to recognize that muμless than<66 hours is not very high when in reality muμequals=4.04.0 hours.