Question

When testing whether the correlation coefficient differs from zero, the value of the test statistic is t20=1.95 with a corresponding p-value of 0.0653. at the 5% significance level, can you conclude that the correlation coefficient differs from zero?

Answer 1

Given:
value of the test statistic is t20 = 1.95
corresponding p-value of 0.0653 at the 5% significance level

No, I can't conclude that the correlation coefficient differs from zero because the p-value, which is 0.0653 exceeds 0.05. 

The correlation coefficient differs from zero when the p-value is less than 0.05.