For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4137 of supporting the claim that u< 6 hours of sleep when the actual population mean is 3.5 hours of sleep. Interpret this value of the power, then identify the value of ß and interpret that value. Interpret this value of the power. O A. The chance of failing to recognize that u = 3.5 hours is not very high when in reality p = 3.5 hours. O B. The chance of recognizing that p<6 hours is not very high when in reality µ = 3.5 hours. C. The chance of recognizing that u<6 hours is very high when in reality u = 3.5 hours. O D. The chance of failing to recognize that u <6 hours is not very high when in reality u = 3.5 hours. Identify the value of B 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.) O A. The value ß=| indicates that there is a less than 50% chance of incorrectly recognizing that u<6 hours when in reality p = 6 hours. B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u <6 hours when in realityu=6 hours. C. The value B= indicates that there is a less than 50% chance of failing to recognize that u<6 hours when in reality u = 3.5 hours. O D. The value B= indicates that there is a greater than 50% chance of failing to recognize that u < 6 hours when in reality u =3.5 hours.