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

question 86

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.
$\begin{array}{lcccccccccc}\text { Plot: } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline \text { Before } & 9 & 9 & 8 & 7 & 6 & 8 & 5 & 9 & 10 & 11 \\\text { After } & 10 & 9 & 9 & 8 & 7 & 10 & 6 & 10 & 10 & 12\\\hline\end{array}$
You wish the test the following hypothesis at the 10 percent level of significance.
$\mathrm { H } _ { 0 } : \mu _ { \mathrm { d } } = 0$ against $\mathrm { H } _ { 1 } : \mu _ { \mathrm { d } } > 0$ .
What decision rule would you use?

• A) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than 1.383.
• B) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(- 1.383\).
• C) Reject \(\mathrm { H } _ { 0 }\) if test statistic is less than 1.383.
• D) Reject \(\mathrm { H } _ { 0 }\) if test statistic is greater than \(- 1.383\) or less than \(1.383\).

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Definitions:

Explicit Prejudice

A form of prejudice that individuals are consciously aware of and can express openly, involving negative attitudes or beliefs towards a group.

Presidential Candidate

An individual who campaigns for election to the presidency, the highest executive office in a country.

Implicit Bias

Unconscious attitudes or stereotypes that affect an individual's understanding, actions, and decisions in an unconscious manner.

African-Americans

An ethnic group in the United States with ancestry tracing back to the black racial groups of Africa.