Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

Determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=0. 835, α=0. 01, n=4

Sagot :

Yes, the correlation coefficient is statistically significance

The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.

Given,

Sample size, n = 4

Where ρ is the population correlation.

Then the number of degrees of freedom is, df = n-2 = 4-2 = 2

The corresponding critical correlation value re for a significance level of a 0.01, for a two-tailed test is た= 0.254

Here,

The null hypothesis, [tex]H_{0}[/tex] = ρ - 0 is rejected

Suppose lr> re 0.254

Because on the sample correlation provided, we know that lrl = 0.835>=0.254.

Here, it is clear that the null hypothesis is rejected.

Learn more about correlation here: https://brainly.com/question/16970956

#SPJ4