Table B.4: Values of the Correlation Coefficient Needed for Rejection of the Null Hypothesis How to use this table: 1. Compute the value of the correlation coefficient. 2. Compare the value of the correlation coefficient with the critical value listed in this table. 3. If the obtained value is greater than the critical or tabled value, the null hypothesis (that the correlation coefficient is equal to zero) is not the most attractive explanation for any observed differences. 4. If the obtained value is less than the critical or tabled value, the null hypothesis is the most attractive explanation for any observed differences. Table B.4. Values of the Correlation Coefficient Needed for Rejection of the Null Hypothesis One-Tailed Test Two-Tailed Test df .05 .01 df .05 .01 1 .9877 .9995 1 .9969 .9999 2 .9000 9800 2 .9500 .9900 3 .8054 .9343 3 .8783 .9587 4 .7293 .8822 4 .8114 .9172 5 .6694 .832 5 .7545 .8745 6 .6215 .7887 6 .7067 .8343 7 .5822 7498 7 .6664 .7977 8 .5494 .7155 8 .6319 .7646 9 .5214 .6851 9 .6021 .7348 10 10 .4973 .6581 10 .5760 .7079 11 .4762 .6339 11 .5529 .6835 12 .4575 .6120 12 .5324 .6614 13 14 .4409 .5923 13 .5139 .6411 .4259 .5742 14 .4973 .6226 15 .412 .5577 15 .4821 .6055 16 .4000 .5425 16 .4683 .5897 17 .3887 .5285 17 .4555 .5751 18 .3783 .5155 18 .4438 .5614 19 .3687 .5034 19 .4329 .5487 20 20 .3598 .4921 20 .4227 .5368 25 25 .3233 .4451 25 25 30 .2960 .4093 30 50 .3809 .4869 .3494 .4487 35 .2746 .3810 35 .3246 .4182 40 .2573 .3578 40 .3044 .3932 45 .2428 .3384 45 .2875 .3721 50 50 .2306 .3218 60 60 50 50 .2732 .3541 .2108 .2948 60 .2500 .3248 70 .1954 .2737 70 .2319 .3017 80 .1829 .2565 80 60 .2172 .2830 90 .1726 .2422 90 .2050 .2673 100.1638 .2301 100 .1946 .2540