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In: Statistics and Probability

A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to...

A​ 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left​ hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it. Among 280 280 ​trials, the touch therapists were correct 119 119 times. Use a 0.10 0.10 significance level to test the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are​ effective? The test statistic for this hypothesis test is

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