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The average amount of time that students spend texting is 26 hours per week with a standard deviation of 3 hours. Dr. Mazza believes this is higher. If $\alpha=1 \%$, which of the following would be your decision rule?
a) Reject $\mathrm{H}_{0}$ if $\mathrm{p} \leq .01$
b) Reject $\mathrm{H}_{0}$ if $p> .05$
c) Reject $\mathrm{H}_{0}$ if $\mathrm{p}> .01$
d) Reject $\mathrm{H}_{0}$ if $\mathrm{p} \leq .05$
\(\boxed{\text{a) Reject } H_{0} \text{ if } p \leq .01}\) is the final answer.
Step 1 :Given that the average amount of time that students spend texting is 26 hours per week with a standard deviation of 3 hours. Dr. Mazza believes this is higher. If $\alpha=1 \%$, we need to find the decision rule.
Step 2 :The decision rule is based on the significance level, $\alpha$, which is given as 1% or 0.01.
Step 3 :Thus, the decision rule would be to reject the null hypothesis, $H_{0}$, if the p-value is less than or equal to the significance level.
Step 4 :So, the decision rule is: Reject $H_{0}$ if $p \leq .01$
Step 5 :\(\boxed{\text{a) Reject } H_{0} \text{ if } p \leq .01}\) is the final answer.