Question

(a) Supposen - 6 and the sample correlation coefficient is r=0.884. Is significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places) critical Condusion: Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance No, the correlation coefficient is not significantly different from 0 at the 0.01 level of significance (b) Supposen - 10 and the sample correlation coefficient is 0.884. Isr significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places) critical Conclusion: • Yes, the correlation coefficient p is significantly different from o at the 0.01 level of significance No, the correlation coefficient is not significantly different from o at the 0.01 level of significance (c) Explain why the test results of parts(a) and (b) are different even though the sample correlation coefficient 0.004 is the same in both parts. Does it appear that sample se plays an important role in determining the significance of a correlation coefficient? Explain. As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value As n increases, so do the degrees of freedom, and the test statistic. This produces a larger value As n increases, so do the degrees of freedom and the test statistic. This produces a smaller P value As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. Need Help?

Answer 1

Sol Given that a) text Statistic to vrv (0-2) 0.884 x (u) [ 1-0.880] t critical for a= 0.01 , d. f = 0-2 ²4 t critical t(0.005, ) twitical = 14.602 Reject Ho if t> 4.602 Heve t=3.782 24.602 Conclusion i no, the Comelation coefficient p is significantly o at the 0.01 level of sogruficance 6) +-0.884 x 8 (1-o. Bour different from 5.348 + cuisical for t=t(0.005.8) t = 3.355 Heve t= 5,348 3.355. Conclufon : Yes the Correlation coefficient pis significantly different from 0 at the 0.01 level of sugrëficance. tcritical 3.355 As Increases, so do the degrees of freedom and the test Statistic. This produces a smaller value P

Sol Given that a) text Statistic to vrv (0-2) 0.884 x (u) [ 1-0.880] t critical for a= 0.01 , d. f = 0-2 ²4 t critical t(0.005, ) twitical = 14.602 Reject Ho if t> 4.602 Heve t=3.782 24.602 Conclusion i no, the Comelation coefficient p is significantly o at the 0.01 level of sogruficance 6) +-0.884 x 8 (1-o. Bour different from 5.348 + cuisical for t=t(0.005.8) t = 3.355 Heve t= 5,348 3.355. Conclufon : Yes the Correlation coefficient pis significantly different from 0 at the 0.01 level of sugrëficance. tcritical 3.355 As Increases, so do the degrees of freedom and the test Statistic. This produces a smaller value P

Sol Given that a) text Statistic to vrv (0-2) 0.884 x (u) [ 1-0.880] t critical for a= 0.01 , d. f = 0-2 ²4 t critical t(0.005, ) twitical = 14.602 Reject Ho if t> 4.602 Heve t=3.782 24.602 Conclusion i no, the Comelation coefficient p is significantly o at the 0.01 level of sogruficance 6) +-0.884 x 8 (1-o. Bour different from 5.348 + cuisical for t=t(0.005.8) t = 3.355 Heve t= 5,348 3.355. Conclufon : Yes the Correlation coefficient pis significantly different from 0 at the 0.01 level of sugrëficance. tcritical 3.355 As Increases, so do the degrees of freedom and the test Statistic. This produces a smaller value P