(Solved): A 9-year-old girl did a science fair experiment in which she tested professional touch therapists t ...

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 276 trials, the touch therapists were correct 109 times. Use a \( 0.01 \) significance level to test the claim that touch therapists use a method equivalent to random guesses. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. \( H_{0}: \mathrm{p}=0.5 \) B. \( H_{0}: p \neq 0.5 \) \( H_{1}: p \neq 0.5 \) \( H_{1}: p=0.5 \) C. \( H_{0}: p=0.5 \) D. \( \mathrm{H}_{0}: \mathrm{p}=0.5 \) \( H_{1}: p<0.5 \) \( H_{1}: p>0.5 \) Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is sense her energy field. She flipped a coin to select itter tested professional touch therapists to see if they could therapists to identify the selected hand by placing their har her right hand or her left hand, and then she asked the it. Among 276 trials, the touch therapists wlacing their hand just under her hand without seeing it and without touching touch therapists use a method equivalent to randorrect 109 times. Use a \( 0.01 \) significance level to test the claim that The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Fail to reject \( \mathrm{H}_{0} \). There is sufficient evidence to support the claim that touch therapists use a method 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 touchi it. Among 276 trials, the touch therapists were correct 109 times. Use a \( 0.01 \) significance level to test the claim that touch therapists use a method equivalent to random guesses. Identify the conclusion for this hypothesis test. A. Fail to reject \( \mathrm{H}_{0} \). There is sufficient evidence to support the claim that touch therapists use a method equivalent to random guesses. B. Reject \( \mathrm{H}_{0} \). There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. C. Reject \( \mathrm{H}_{0} \). There is not sufficient evidence to support the claim that touch therapists use a method equivalent to random guesses. D. Fail to reject \( \mathrm{H}_{0} \). There is not sufficient evidence to warrant rejection of the claim that touch therapists use