(a) Test the null hypothesis that there is no linear relationship between the pr

Question

(a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the final exam against the two-sided alternative. (Round your test statistic to three decimal places and your P-value to four decimal places.)

Conclusion (Choose the best answer)

*We reject H0 at the 5% significance level.

*We do not reject H0 at the 5% significance level.    

(b) Would you reject this null hypothesis versus the one-sided alternative that the slope is positive? Explain your answer.

P = ____

Conclusion (Choose the best answer)

*We could reject H0 at the 5% significance level.

*We could not reject H0 at the 5% significance level.    

Explanation / Answer

a) t= 0.71/041 = 1.732

df = 82-1 = 81

P value = 0.0871

We do not reject H0 at 5% Level because p value is greater than 5% level

b) In one sided alternative

P value will be 0.0436

We reject H0 at 5% Level since P value is less than 5%

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