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

question 56

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. Suppose you wish to test the claim that $\mu _ { d }$ , the mean value of the differences $d$ for a population of paired data, is greater than 0 . Given a sample of $n = 15$ and a significance level of $\alpha = 0.01$ , what criterion would be used for rejecting the null hypothesis?

• A) Reject null hypothesis if test statistic \(< 2.624\).
• B) Reject null hypothesis if test statistic \(> 2.602\).
• C) Reject null hypothesis if test statistic \(> 2.624\).
• D) Reject null hypothesis if test statistic \(> 2.977\) or \(< - 2.977\).

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Definitions:

Cognitive Development

Refers to the process of growth and change in intellectual/mental abilities such as thinking, reasoning, and understanding over the course of a person's life.

Ceiling Level

The upper limit of an individual's performance capability on a particular test or assessment, beyond which no higher scores can be achieved due to limitations of the test.

Stanford-Binet

An individually administered intelligence test that assesses cognitive abilities across five factors, contributing to the calculation of an IQ score.

Consecutive Age Levels

Sequential stages of development based on age, often used to describe developmental progress or educational grading systems.