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At One School, the Average Amount of Time That Tenth-Graders H0:μ=21.6 hours Ha:μ<21.6 hours \begin{array}{l}\mathrm{H}_{0}: \mu=21.6 \text { hours } \\\mathrm{H}_{\mathrm{a}}: \mu<21.6 \text { hours }\end{array}

Question 31

Multiple Choice

At one school, the average amount of time that tenth-graders spend watching television each week is 21.6 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average
Amount of time spent watching television per week has decreased. The hypotheses are:
H0:μ=21.6 hours Ha:μ<21.6 hours \begin{array}{l}\mathrm{H}_{0}: \mu=21.6 \text { hours } \\\mathrm{H}_{\mathrm{a}}: \mu<21.6 \text { hours }\end{array}
Explain the meaning of a correct decision.


A) Failing to reject the hypothesis that μ=21.6 \mu=21.6 hours when in fact μ=21.6 \mu=21.6 hours OR concluding that μ<21.6 \mu<21.6 hours when in fact μ<21.6 \mu<21.6 hours
B) Concluding that μ>21.6 \mu>21.6 hours when in fact μ<21.6 \mu<21.6 hours
C) Failing to reject the hypothesis that μ=21.6 \mu=21.6 hours when in fact μ<21.6 \mu<21.6 hours
D) Concluding that μ<21.6 \mu<21.6 hours when in fact μ=21.6 \mu=21.6 hours

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