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Dr. Ratmeister is conducting an experiment on mice. She trains the mice to run a T-maze for a reward; the correct direction is identified with

Dr. Ratmeister is conducting an experiment on mice. She trains the mice to run a T-maze for a reward; the correct direction is identified with a light that flashes either left or right at the intersection, and the reward is cheese (see picture below) So, mice can only choose from two directions: left or right. She wants to know if her trained mice are actually choosing the correct direction to go in the T-maze, or if they are just picking a random direction. She predicts that her trained mice will be able to choose the correct direction better than chance alone. She has a sample of 30 mice and finds that 60% of mice (18 of 30) choose the correct direction. Dr. Ratmeister is conducting a one-tailed test with a critical alpha of 0.01

Calculate the z-test statistic and a one-sided p-value for this hypothesis test.

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