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Quest 12 UI 20 CPU U0:39 Determine whether the given correlation coefficient is statistically significant at the specified le
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Answer #1

The null and alternative hypothesis is ,

Ho : The correlation coefficient is not statistically significant

Vs

H1 : The correlation coefficient is statistically significant

Now , df=degrees of freedom=n-2=16-2=14

The critical value is ,

r_{critical}=r_{df,\alpha}=r_{14,0.01}=0.623

Decision : Here , r=0.401<0.623

Therefore , fail to reject Ho.

Hence ,

No. The correlation coefficient is not statistically significant

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