Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given

question 19

Multiple Choice

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis.
-A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. $\begin{array} { | l c c c c c c c c c c } \hline \text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\\text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12 \\\hline\end{array}$
You wish to test the following hypothesis at the 10 percent level of significance. $\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0 \text { against } \mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } \neq 0$
What decision rule would you use?

• A) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(- 1.833\) or less than \(1.833\).
• B) Reject \(\mathrm { H } _ { 0 }\) if test statistic is less than \(- 1.833\).
• C) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(1.833\).
• D) Reject \(\mathrm { H } _ { 0 }\) if test statistic is less than \(- 1.833\) or greater than \(1.833\).

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