At One School, the Average Amount of Time That Tenth-Graders $$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 21 \text { hours } \\\mathrm { H } _ { \mathrm { a } } : \mu < 21 \text { hours }\end{array}$$

question 37

Multiple Choice

At one school, the average amount of time that tenth-graders spend watching television each week is 21 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: $$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 21 \text { hours } \\\mathrm { H } _ { \mathrm { a } } : \mu < 21 \text { hours }\end{array}$$ Suppose that the results of the sampling lead to non-rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean amount of time, ?, spent watching television has increased.

• A) Type I error
• B) Correct decision
• C) Type II error

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