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An experimenter was interested in the accuracy of a new type of polygraph (lie detector)test. To test this, a polygraph operator used the machine on a participant who was told ahead of time to lie about some of the questions being asked. In an average situation of this type, the polygraph test is 75% accurate with a standard deviation of 6.5%. With the new machine the operator correctly identified 83.5% of the false responses. Is the accuracy of the new polygraph different from the usual ones? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distributions involved.
c. Explain the logic of what you did (be sure your explanation includes the overall logic of hypothesis testing, including each of the five steps).
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