Question

Question 1 1 pts The correlation between score and first year GPA is 0.529. What is the critical value for the testing if the correlation is significant at a =.05? Question 2 1 pts To determine if the correlation is significant, what rule is used? correlation is significant if r<.05 correlation is significant if |r| < critical value O correlation is significant if r>.05 correlation is significant if |r| > critical value

Answer 1

solution given n=15 r=0.529 are 1) given To test the correlation is significant, the null and alternative hypothese Ho : f= 0 Hifto The critical value 0.514 (from Pearson's r table) is - M0.025,13 rann-2 il २ ) rule The is used is Irl> critical value. (d) correlation is significant

Table of Critical Values for Pearson's r .0005 df 1 2 3 4 5 Level of Significance for a One-Tailed Test .10 .05 .025 .01 .005 Level of Significance for a Two-Tailed Test .20 10 .05 02 01 0.951 0.988 0.997 0.9995 0.9999 0.800 0.900 0.950 0.980 0.990 0.687 0.805 0.878 0.934 0.959 0.608 0.729 0.811 0.882 0.917 0.551 0.669 0.755 0.833 0.875 .001 0.99999 0.999 0.991 0.974 0.951 6 7 8 9 10 0.507 0.472 0.443 0.419 0.398 0.621 0.582 0.549 0.521 0.497 0.707 0.666 0.632 0.602 0.576 0.789 0.750 0.715 0.685 0.658 0.834 0.798 0.765 0.735 0.708 0.925 0.898 0.872 0.847 0.823 11 12 13 14 15 0.380 0.365 0.351 0.338 0.327 0.476 0.457 0.441 0.426 0.412 0.553 0.532 0.514 0.497 0.482 0.634 0.612 0.592 0.574 0.558 0.684 0.661 0.641 0.623 0.606 0.801 0.780 0.760 0.742 0.725 16 17 18 19 20 0.317 0.308 0.299 0.291 0.284 0.400 0.389 0.378 0.369 0.360 0.468 0.456 0.444 0.433 0.423 0.542 0.529 0.515 0.503 0.492 0.590 0.575 0.561 0.549 0.537 0.708 0.693 0.679 0.665 0.652 0.482 21 22 23 24 25 0.277 0.271 0.265 0.260 0.255 0.352 0.344 0.337 0.330 0.323 0.413 0.404 0.396 0.388 0.381 0.472 0.462 0.453 0.445 0.526 0.515 0.505 0.496 0.487 0.640 0.629 0.618 0.607 0.597 26 27 28 29 30 0.250 0.245 0.241 0.237 0.233 0.317 0.311 0.306 0.301 0.296 0.374 0.367 0.361 0.355 0.349 0.437 0.430 0.423 0.416 0.409 0.479 0.471 0.463 0.456 0.449 0.588 0.579 0.570 0.562 0.554 40 0.202 0.257 0.304 0.358 0.393 0.490 60 0.165 0.211 0.250 0.295 0.325 0.408 12 0 0.117 0.150 0.178 0.210 0.232 0.294 0.057 0.073 0.087 0.103 0.114 0.146 Adapted from Appendix 2 (Critical Values of t) using the square root of [t/(t + dh] Note: Critical values for Infinite df actually calculated for df= 500. DO