10. A teacher is trying to determine whether or not a new teaching method is effective in helping students understand a challenging concept. The teacher evenly divides 30 students into two randomly selected groups. The first group will be taught using a traditional method, while the second group will be taught using the new method. At the end of the unit, all of the students will take the same exam. Assuming a 95 percent level of confidence, which of the following decisions should be made regarding the hypotheses below? H₂H₁ H₂ H₂H₂ 0.05. (D) Reject the null hypothesis if ,-,-1.5. (E) Reject the null hypothesis if, -₂=-2.5.

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Why is it that the correct answer is B? Why not C? What is the explanation and solution of the correct answer? Thanks!

10. A teacher is trying to determine whether or not a new teaching method is effective in helping students understand a challenging
concept. The teacher evenly divides 30 students into two randomly selected groups. The first group will be taught using a
traditional method, while the second group will be taught using the new method. At the end of the unit, all of the students will
take the same exam. Assuming a 95 percent level of confidence, which of the following decisions should be made regarding the
hypotheses below?
H: H₁ H₂
H:H₂ <H₂
(A) Reject the null hypothesis if the test statistic is greater than 1.761.
(B) Reject the null hypothesis if the test statistic is less than-1.761.
Reject the null hypothesis if the p-value > 0.05.
(D) Reject the null hypothesis if, -₂=-1.5.
(E) Reject the null hypothesis if, -₂=-2.5.
Transcribed Image Text:10. A teacher is trying to determine whether or not a new teaching method is effective in helping students understand a challenging concept. The teacher evenly divides 30 students into two randomly selected groups. The first group will be taught using a traditional method, while the second group will be taught using the new method. At the end of the unit, all of the students will take the same exam. Assuming a 95 percent level of confidence, which of the following decisions should be made regarding the hypotheses below? H: H₁ H₂ H:H₂ <H₂ (A) Reject the null hypothesis if the test statistic is greater than 1.761. (B) Reject the null hypothesis if the test statistic is less than-1.761. Reject the null hypothesis if the p-value > 0.05. (D) Reject the null hypothesis if, -₂=-1.5. (E) Reject the null hypothesis if, -₂=-2.5.
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