Question

The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Test the significance of the correlation coefficient using   and the claim   

         

		standardized test statistic t ≈ -19.59; p-value = 0.000 ; reject H0; There is sufficient evidence to conclude that a significant correlation exists.
		standardized test statistic t ≈ -19.59; p-value = 0.000 ; reject H0; There is NOT sufficient evidence to conclude that a significant correlation exists.
		standardized test statistic t ≈ -2.75; p-value = 0.936 ; reject H0; There is NOT sufficient evidence to conclude that a significant correlation exists.
		standardized test statistic t ≈ -19.59; p-value = 2.45 ; Fail to reject H0; There is NOT sufficient evidence to conclude that a significant correlation exists.

Answer 1

From the all below options. Last option P value 2.45. P value always lies bet 0 and 1 therefore this option is incorrect.

From Second last option. P value is 0.936 which always greater than 0.05 therefore we can't rejecte H0, therefore this option is incorrect.

From second option, if we reject H0 then there is significant correlation is exist. Therefore, this option is incorrect.

For the first option, P value 0.000 < 0.05

Therefore H0 is rejected.

We conclude that exists sufficient evidence to conclude that a significant correlation exists.

Therefore, 1st option is correct.

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