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 0.4846 of supporting the claim that u < 9 hours of sleep when the actual population mean is 6.5 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< 9 hours is very high when in reality µ= 6.5 hours. O B. The chance of recognizing that u< 9 hours is not very high when in reality µ = 6.5 hours. O C. The chance of failing to recognize that µ= 6.5 hours not very high when in reality u = 6.5 hours. O D. The chance of failing to recognize that µ<9 hours is not very high when in reality p = 6.5 hours. Identify the value of ß 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 incorrectly recognizing that u <9 hours when in reality u = 9 hours. O B. The value ß = indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 9 hours when in reality u =9 hours. O C. The value B= indicates that there is a greater than 50% chance of failing to recognize that u< 9 hours when in reality u = 6.5 hours. O D. The value B= indicates that there is a less than 50% chance of failing to recognize that µ < 9 hours when in reality u = 6.5 hours.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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
0.4846 of supporting the claim that u <9 hours of sleep when the actual population mean is 6.5 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 recognizing that u<9 hours is very high when in reality u = 6.5 hours.
O B. The chance of recognizing that u< 9 hours is not very high when in reality u = 6.5 hours.
OC. The chance of failing to recognize that u = 6.5 hours is not very high when in reality u = 6.5 hours.
O D. The chance of failing to recognize that u <9 hours is not very high when in reality u = 6.5 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 B=
indicates that there is a less than 50% chance of incorrectly recognizing that u <9 hours when in reality u = 9 hours.
O B. The value B=
indicates that there is a greater than 50% chance of incorrectly recognizing that u <9 hours when in realityu=9 hours.
O C. The value B =
indicates that there is a greater than 50% chance of failing to recognize that u < 9 hours when in reality u = 6.5 hours.
O D. The value B =
indicates that there is a less than 50% chance of failing to recognize that u<9 hours when in reality u = 6.5 hours.
Transcribed Image Text: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 0.4846 of supporting the claim that u <9 hours of sleep when the actual population mean is 6.5 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 recognizing that u<9 hours is very high when in reality u = 6.5 hours. O B. The chance of recognizing that u< 9 hours is not very high when in reality u = 6.5 hours. OC. The chance of failing to recognize that u = 6.5 hours is not very high when in reality u = 6.5 hours. O D. The chance of failing to recognize that u <9 hours is not very high when in reality u = 6.5 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 B= indicates that there is a less than 50% chance of incorrectly recognizing that u <9 hours when in reality u = 9 hours. O B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u <9 hours when in realityu=9 hours. O C. The value B = indicates that there is a greater than 50% chance of failing to recognize that u < 9 hours when in reality u = 6.5 hours. O D. The value B = indicates that there is a less than 50% chance of failing to recognize that u<9 hours when in reality u = 6.5 hours.
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