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

ID: 3216746 • Letter: #

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.

t = df = P =

Explanation / Answer

a) t = b1 / SE(b1) = 0.76 / 0.41 = 1.85

Df = n - 2 = 82 - 2 = 80

p - value = 2*P(t > 1.85) = 2*0.034 = 0.068

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

b) For one sided test,

p - value = 0.034

Conclusion: We could reject H0 at the 5% significance level.