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:

Ambivalent/Resistant Attachment

A form of insecure attachment where children typically exhibit clinginess and difficulty being soothed but resist or reject the caregiver when they attempt to offer comfort or affection.

Secure Attachment

A bond between a child and caregiver characterized by trust and confidence, resulting from the caregiver's consistent response to the child's needs.

Anxious-Preoccupied Attachment

An attachment pattern characterized by dependency or "clinginess," not feeling worthy of love coupled with a fear of abandonment.

Sensorimotor Stage

The first of the four stages of cognitive development in Piaget's theory, spanning from birth to about 2 years of age, where infants learn through interacting with the environment using their senses and motor actions.