A correlation of r = .38 in a sample of 30 participants is statistically significant for a two-tailed test at a .05 level of significance.

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A correlation of r = .38 in a sample of 30 participants is statistically significant for a two-tailed test at a .05 level of significance. The critical value for a two-tailed test with 28 degrees of freedom (30-2) at a .05 level of significance is ±2.048. The calculated t-value for a correlation coefficient of .38 with 28 degrees of freedom is 1.97, which is smaller than the critical value. Therefore, we reject the null hypothesis and conclude that there is a statistically significant correlation between the two variables.

A Correlation of R =