For a hypothesis test of the claim that the mean amount of sleep for adults is less than 8 hours, technology output shows that the hypothesis test has power of 0.4166 of supporting the claim that u<8 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 ß and interpret that value. Interpret this value of the power. O A. The chance of failing to recognize that u =7.0 hours is not very high when in reality u =7.0 hours. O B. The chance of failing to recognize that p <8 hours is not very high when in reality u =7.0 hours. OC. The chance of recognizing that u<8 hours is very high when in reality u =7.0 hours. O D. The chance of recognizing that u<8 hours is not very high when in reality u = 7.0 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 B= indicates that there is a less than 50% chance of failing to recognize that u<8 hours when in reality u=7.0 hours. O B. The value B= indicates that there is a greater than 50% chance of failing to recognize that u<8 hours when in reality u=7.0 hours. O C. The value B= indicates that there is a less than 50% chance of incorrectly recognizing that u<8 hours when in reality u =8 hours. O D. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u<8 hours when in reality u = 8 hours.

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For a hypothesis test of the claim that the mean amount of sleep for adults is less than 8 hours, technology output shows that the hypothesis test has power of 0.4166 of supporting the claim that µ< 8 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 ß and interpret that value.
Interpret this value of the power.
A. The chance of failing to recognize that u = 7.0 hours is not very high when in reality u = 7.0 hours.
B. The chance of failing to recognize that u<8 hours is not very high when in reality u = 7.0 hours.
O C. The chance of recognizing that
< 8 hours is very high when in reality u = 7.0 hours.
D. The chance of recognizing that u <8 hours is not very high when in reality µ = 7.0 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 B=
indicates that there is a less than 50% chance of failing to recognize that u < 8 hours when in reality u = 7.0 hours.
%3D
B. The value B=
indicates that there is a greater than 50% chance of failing to recognize that u < 8 hours when in reality u = 7.0 hours.
C. The value B =
indicates that there is a less than 50% chance of incorrectly recognizing that u < 8 hours when in reality u = 8 hours.
D. The value B=
indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 8 hours when in reality u = 8 hours.
Transcribed Image Text:For a hypothesis test of the claim that the mean amount of sleep for adults is less than 8 hours, technology output shows that the hypothesis test has power of 0.4166 of supporting the claim that µ< 8 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 ß and interpret that value. Interpret this value of the power. A. The chance of failing to recognize that u = 7.0 hours is not very high when in reality u = 7.0 hours. B. The chance of failing to recognize that u<8 hours is not very high when in reality u = 7.0 hours. O C. The chance of recognizing that < 8 hours is very high when in reality u = 7.0 hours. D. The chance of recognizing that u <8 hours is not very high when in reality µ = 7.0 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 B= indicates that there is a less than 50% chance of failing to recognize that u < 8 hours when in reality u = 7.0 hours. %3D B. The value B= indicates that there is a greater than 50% chance of failing to recognize that u < 8 hours when in reality u = 7.0 hours. C. The value B = indicates that there is a less than 50% chance of incorrectly recognizing that u < 8 hours when in reality u = 8 hours. D. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 8 hours when in reality u = 8 hours.
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