Twenty pairs of points yielded a correlation coefficient of

Twenty pairs of points yielded a correlation coefficient of r= 0.4. If alpha=.05, which of the following statements is correct if Ho:r=0 ? (Do not calculate a t-values. Use the r value.) (Also use the PPMC table from the internet)

A) The correlation coefficient is to the right of the critical value, reject the null hypothesis.
B) The correlation coefficient is to the right of the critical value, accept the null hypothesis.
C) The correlation coefficient is to the left of the critical value, reject the null hypothesis.
D) None of the above
E) The correlation coefficient is to the left of the critical value, accept the null hypothesis.

Solution

The critical value of r at 0.05 with degree of freedon is n-2=18 is 0.444

The calculated value of correlation cofficient r=0.4<0.444, The correlation cofficient is to the left of the critical value , accept the null hypothesis.