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 0.4619 of supporting the claim that u< 9 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power, then identify the val of B and interpret that value. Tme Ciance ur lalny u recugrize unat p O B. The chance of failing to recognize that p= х Tу again. O C. The chance of recognizing that µ < 9 hours The power of a test is equal to 1-B. The symbol ß represents the probability of a YD. The chance of recognizing that u< 9 hours type Il error, that is, the probability of failing to reject the null hypothesis when it is actually false. Identify the value of ß and interpret that value. Sele OK (Round to four decimal places as needed.) O A. The value ß = indicates that there is a greater than 50% chance of failing to recognize that µ< 9 hours when in reality p=7.5 hours. O B. The value B= 0.5426 indicates that there is a less than 50% chance of failing to recognize that u<9 hours when in reality u =7.5 hours. C. The value B= 0.5883 indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 9 hours when in reality µ= 9 hours. O D. The value B= indicates that there is a less than 50% chance of incorrectly recognizing that u< 9 hours when in reality p = 9 hours.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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 9 hours, technology output shows that the hypothesis test has power of 0.4619 of supporting the claim that u <9 hours of sleep when the actual population mean is 7.5 hours of sleep. Interpret this value of the power,

Identify the value of beta and interpret that value.

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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
0.4619 of supporting the claim that p< 9 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 ß and interpret that value.
Tme tiance on lalng to recugize mat ps
х Ту адain.
O B. The chance of failing to recognize that u=
O C. The chance of recognizing that µ < 9 hours The power of a test is equal to 1-B. The symbol B represents the probability of a
'D. The chance of recognizing that µ< 9 hours type Il error, that is, the probability of failing to reject the null hypothesis when it is
actually false.
Identify the value of B and interpret that value. Sele
OK
(Round to four decimal places as needed.)
O A. The value B=
indicates that there is a greater than 50% chance of failing to recognize that u< 9 hours when in reality µ = 7.5 hours.
O B. The value B = 0.5426 indicates that there is a less than 50% chance of failing to recognize that u< 9 hours when in reality u= 7.5 hours.
C. The value B= 0.5883 indicates that there is a greater than 50% chance of incorrectly recognizing that µ< 9 hours when in reality u= 9 hours.
D. The value B =
indicates that there is a less than 50% chance of incorrectly recognizing that u< 9 hours when in reality p= 9 hours.

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