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 0.4574 of supporting the claim that µ< 8 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value. Interpret this value of the power. O A. The chance of recognizing that u< 8 hours is very high when in reality p= 7.5 hours. O B. The chance of failing to recognize that p = 7.5 hours is not very high when in reality p=7.5 hours. O C. The chance of failing to recognize that p < 8 hours is not very high when in reality p = 7.5 hours. O D. The chance of recognizing that p< 8 hours is not very high when in reality p= 7.5 hours.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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 0.4574 of supporting the claim that u < 8 hours of sleep when the actual population mean is 7.5 hours of sleep.

  1. Interpret this value of the​ power,
  2. then identify the value of beta  and, interpret that value.
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
0.4574 of supporting the claim that µ< 8 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value
of B and interpret that value.
Interpret this value of the power.
O A. The chance of recognizing that u< 8 hours is very high when in reality u= 7.5 hours.
O B. The chance of failing to recognize that u=7.5 hours is not very high when in reality u= 7.5 hours.
O C. The chance of failing to recognize that u < 8 hours is not very high when in reality p= 7.5 hours.
O D. The chance of recognizing that u<8 hours is not very high when in reality u= 7.5 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 0.4574 of supporting the claim that µ< 8 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value. Interpret this value of the power. O A. The chance of recognizing that u< 8 hours is very high when in reality u= 7.5 hours. O B. The chance of failing to recognize that u=7.5 hours is not very high when in reality u= 7.5 hours. O C. The chance of failing to recognize that u < 8 hours is not very high when in reality p= 7.5 hours. O D. The chance of recognizing that u<8 hours is not very high when in reality u= 7.5 hours.
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