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Answer:
The critical values of r are -0.708 and 0.708.
Step-by-step explanation:
A statistical test is being performed to determine whether there is any linear correlation between two variables.
The hypothesis can be defined as follows:
<em>H</em>₀: There is no linear correlation between two variables, i.e. <em>ρ</em> = 0.
<em>H</em>ₐ: There is a significant linear correlation between two variables, i.e. <em>ρ</em> ≠ 0.
The test statistic is given as follows:
The degrees of freedom of the test is:
The significance level of the test is, <em>α</em> = 0.01.
The critical values of <em>r</em> are:
*Use the <em>r</em> critical value table.
Thus, the critical values of r are -0.708 and 0.708.
