The psychology department is gradually changing its curriculum by increasing the number of online course offerings. To evaluate the effectiveness of this change, a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of μ = 71 and a standard deviation of σ = 12 . The department conducts a hypothesis test with α = .05 . Which of the following correctly describes the outcome of the hypothesis test?     Accept the null hypothesis because z = +2.50, which is in the critical region.     Fail to reject the null hypothesis because z = +0.42, which is not in the critical region.     Fail to accept the alternative hypothesis because z = +0.42, which is not in the critical region.     Reject the null hypothesis because z = +2.50, which is in the critical region.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The psychology department is gradually changing its curriculum by increasing the number of online course offerings. To evaluate the effectiveness of this change, a random sample of n = 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M = 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of μ = 71 and a standard deviation of σ = 12 . The department conducts a hypothesis test with α = .05 . Which of the following correctly describes the outcome of the hypothesis test?

   

Accept the null hypothesis because z = +2.50, which is in the critical region.

   

Fail to reject the null hypothesis because z = +0.42, which is not in the critical region.

   

Fail to accept the alternative hypothesis because z = +0.42, which is not in the critical region.

   

Reject the null hypothesis because z = +2.50, which is in the critical region.

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