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 290 ​trials, the touch therapists were correct 117 times. Use a 0.01 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?   a. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is   ​(Round to two decimal places as​ needed.)   b. Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is   ​(Round to three decimal places as​ needed.)

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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 290 ​trials, the touch therapists were correct 117 times. Use a 0.01 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?

 

a. Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
 
​(Round to two decimal places as​ needed.)
 
b. Identify the​ P-value for this hypothesis test.
The​ P-value for this hypothesis test is
 
​(Round to three decimal places as​ needed.)
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