A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the significance of the correlation?a.)The correlation is not significant with either α = .05 or α = .01. b.)The correlation is significant with either α = .05 or α = .01.c.)The correlation is equal to zero.d.)The correlation is significant with α = .05 but not with α = .01.

Question

A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a two-tailed test, which of the following accurately describes the significance of the correlation?​a.)The correlation is not significant with either   α = .05 or   α = .01. b.)​The correlation is significant with either   α = .05 or   α = .01.c.)The correlation is equal to zero.d.)The correlation is significant with   α = .05 but not with   α = .01.

frethi38 · Accepted Answer

Given DataPearson correlation coefficient (r) = 0.43Sample size (n) =20Formulation of Hypothesis      H    0    :  ρ  =  0  H  1  :  ρ  ≠  0To test the significance, test statistic is given by  t  =  r                    n        −        2                    1        −                  r          2                      =  0.43  ×                    20        −        2                    1        −                  0.43          2                      =  2.021Finding the p-valuep-value = 0.05841( From Excel =T.DIST.2T(2.021,18))p-value &amp;gt; 0.05 and p-value &amp;gt; 0.01So, the correlation  is not significant with either   α = .05 or   α = .01AnswerOption A is the correct answerThe correlation is not significant with either   α = .05 or   α = .01.

A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants. For a tw

Answered question

Answer & Explanation

New Questions in College Statistics