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8. It is claimed that "trained" mice are more likely to make a correct decision in a T-maze than are "untrained" mice. To test this hypothesis, 324 mice (162 of which were trained, 162 of which were untrained) were put in a T-maze. We choose the value of a to be 0.01. The following data were observed (next page): Decision made: Correct Incorrect ТОTAL Trained 90 72 162 Untrained 72 90 162 ТОTAL 162 162 324

8. It is claimed that "trained" mice are more likely to make a correct decision in a T-maze than are "untrained" mice. To test this hypothesis, 324 mice (162 of which were trained, 162 of which were untrained) were put in a T-maze. We choose the value of a to be 0.01. The following data were observed (next page): Decision made: Correct Incorrect ТОTAL Trained 90 72 162 Untrained 72 90 162 ТОTAL 162 162 324

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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8. It is claimed that "trained" mice are more likely to make a correct decision in a T-maze than are "untrained" mice. To test this hypothesis, 324 mice (162 of which were trained, 162 of which were untrained) were put in a T-maze. We choose the value of a to be 0.01. The following data were observed (next page): Decision made: Correct Incorrect ТОTAL Trained 90 72 162 Untrained 72 90 162 ТОTAL 162 162 324
Transcribed Image Text:8. It is claimed that "trained" mice are more likely to make a correct decision in a T-maze than are "untrained" mice. To test this hypothesis, 324 mice (162 of which were trained, 162 of which were untrained) were put in a T-maze. We choose the value of a to be 0.01. The following data were observed (next page): Decision made: Correct Incorrect ТОTAL Trained 90 72 162 Untrained 72 90 162 ТОTAL 162 162 324
(i) State the appropriate null and alternative hypotheses. (ii) If the test statistic used is z as given in the course notes, indicate whether the test is one-sided up, one sided down, or two-sided, and give the reason for your answer. (iii) Calculate the value of z given the data in the above two-by-two table. (iv) (Approach 2). Calculate P-value corresponding to your observed value of z. Indicate whether you would accept or reject the null hypothesis, based on your P-value calculation.
Transcribed Image Text:(i) State the appropriate null and alternative hypotheses. (ii) If the test statistic used is z as given in the course notes, indicate whether the test is one-sided up, one sided down, or two-sided, and give the reason for your answer. (iii) Calculate the value of z given the data in the above two-by-two table. (iv) (Approach 2). Calculate P-value corresponding to your observed value of z. Indicate whether you would accept or reject the null hypothesis, based on your P-value calculation.
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