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 0.4815 of supporting the claim that u

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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 0.4815 of supporting the claim that u<O 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 B and interpret that value.
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<O hours when in reality µ=9 hours.
O B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u<O hours when in reality H=9 hours.
OC. The value ß =
indicates that there is a greater than 50% chance of failing to recognize that u<9 hours when in reality u=7.0 hours.
OD. The value ß =
indicates that there is a less than 50% chance of failing to recognize that u<o hours when in reality p=7.0 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 0.4815 of supporting the claim that u<O 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 B and interpret that value. 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<O hours when in reality µ=9 hours. O B. The value B= indicates that there is a greater than 50% chance of incorrectly recognizing that u<O hours when in reality H=9 hours. OC. The value ß = indicates that there is a greater than 50% chance of failing to recognize that u<9 hours when in reality u=7.0 hours. OD. The value ß = indicates that there is a less than 50% chance of failing to recognize that u<o hours when in reality p=7.0 hours
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