Suppose You Will Perform a Test to Determine Whether There $r$

question 37

Multiple Choice

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of $r$ given the number of pairs of data $n$ and the significance level $\alpha$ .
$n = 12 , \alpha . = 0.01$

• A) \(r = 0.708\)
• B) \(r = \pm 0.708\)
• C) \(r = \pm 0.576\)
• D) \(r = 0.735\)

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Definitions:

Qualitative Variables

Variables that express categorical, non-numeric information, such as gender, race, or type of living arrangement.

Test Statistic

A quantity derived from sample data that is used in a hypothesis test to make a decision about the null hypothesis.

Chi-Squared Table

A table that shows the critical values of the chi-square distribution, used to determine the significance of chi-square statistics.

Null Hypothesis

The assumption in hypothesis testing that posits no significant difference exists between specified populations.