(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

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

We could reject H0 at the 5% significance level.

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

Explanation / Answer

a) t = 0.77 / 0.42 = 1.833

df = n - 2 = 82 - 2 = 80

p - value = 2*P(t > 1.833) = 2*0.03526 = 0.0705

Conclusion:

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

b) For a one tailed test,

P = P(t > 1.833) = 0.0353

Conclusion:

We could reject H0 at the 5% significance level.

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