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Use the Following Information for Questions:
Grades for a Random

Question 47

Multiple Choice

Use the following information for questions:
Grades for a random sample of students who have taken statistics from a certain professor over the past 20 year were used to estimate the relationship between y = grade on the final exam and x = average exam score (for the three exams given during the term) .  Use the following information for questions:  Grades for a random sample of students who have taken statistics from a certain professor over the past 20 year were used to estimate the relationship between y = grade on the final exam and x = average exam score (for the three exams given during the term) .   -The results for a test of H<sub>0</sub>: \beta <sub>1</sub> = 0 versus H<sub>a</sub> \beta <sub>1</sub>  \neq  0 show that A)  the null hypothesis can be rejected because t = 3.91 and the p-value = 0.000. B)  the null hypothesis can be rejected because t = 14.01 and the p-value = 0.000. C)  the null hypothesis cannot be rejected because t = 3.91 and the p-value = 0.000. D)  the null hypothesis cannot be rejected because t = 14.01 and the p-value = 0.000.
-The results for a test of H0: β\beta 1 = 0 versus Ha β\beta 1 \neq 0 show that


A) the null hypothesis can be rejected because t = 3.91 and the p-value = 0.000.
B) the null hypothesis can be rejected because t = 14.01 and the p-value = 0.000.
C) the null hypothesis cannot be rejected because t = 3.91 and the p-value = 0.000.
D) the null hypothesis cannot be rejected because t = 14.01 and the p-value = 0.000.

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