Question

The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections

Answer 1

The critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

How to determine the critical values corresponding to a 0.01 significance level?

The scatter plot of the election is added as an attachment

From the scatter plot, we have the following highlights

• Number of paired observations, n = 8
• Significance level = 0.01

Start by calculating the degrees of freedom (df) using

df =n - 2

Substitute the known values in the above equation

df = 8 - 2

Evaluate the difference

df = 6

Using the critical value table;

At a degree of freedom of 6 and significance level of 0.01, the critical value is

z = 0.834

From the list of given options, 0.834 is between  -0.881 and 0.881

Hence, the critical values corresponding to a 0.01 significance level used to test the null hypothesis of ρs = 0 is (a) -0.881 and 0.881

Read more about null hypothesis at

brainly.com/question/14016208

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