A Random Sample of Two Variables, X and Y, Produced

question 113

Multiple Choice

A random sample of two variables, x and y, produced the following observations: Test to determine whether the population correlation coefficient is negative. Use a significance level of 0.05 for the hypothesis test.

• A) Because t = -4.152 < -1.9432, reject the null hypothesis. Because the null hypothesis is rejected, the sample data does support the hypothesis that there is a negative linear relationship between x and y.
• B) Because t = -4.152 < -1.9432, do not reject the null hypothesis. Because the null hypothesis is not rejected, the sample data support the hypothesis that there is a negative linear relationship between x and y.
• C) Because t = -9.895 < -1.9432, reject the null hypothesis. Because the null hypothesis is rejected, the sample data does support the hypothesis that there is a negative linear relationship between x and y.
• D) Because t = -9.895 < -1.9432, do not reject the null hypothesis. Because the null hypothesis is not rejected, the sample data support the hypothesis that there is a negative linear relationship between x and y.

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Definitions:

Classification Ability

The capacity to organize objects, ideas, or information into categories based on common characteristics or criteria.

Animals

Multicellular, eukaryotic organisms in the kingdom Animalia (also called Metazoa), which are typically characterized by their ability to move, reproduce sexually, and consume organic material.

Conservation Abilities

Cognitive skills that enable a person to understand that certain properties of objects, like volume and number, remain the same despite changes in form or arrangement.

Neurological Influences

The effects that the nervous system, including brain function, has on behavior, emotions, and cognitive processes.