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Answer: Use the sign test for the claim involving nominal
Chapter 13, Problem 15BSC(choose chapter or problem)
Use the sign test for the claim involving nominal data. Touch Therapy? At the age of 9, Emily Rosa 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, then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times and wrong the other times (based on data in “A Close Look at Therapeutic Touch,” Journal of the American Medical Association,? Vol. 279, No. 13). Use a 0.01 significance level to test the claim that the touch therapists make their selections with a method equivalent to random guesses. Based on the results, does it appear that therapists are effective at identifying the correct hand?
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QUESTION:
Use the sign test for the claim involving nominal data. Touch Therapy? At the age of 9, Emily Rosa 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, then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times and wrong the other times (based on data in “A Close Look at Therapeutic Touch,” Journal of the American Medical Association,? Vol. 279, No. 13). Use a 0.01 significance level to test the claim that the touch therapists make their selections with a method equivalent to random guesses. Based on the results, does it appear that therapists are effective at identifying the correct hand?
ANSWER:Solution 15BSC Step 1 Let us denote ‘p’ as the proportion of touch therapists were correct i.e., Proportion of touch therapists were correct (p) = 1 = 0.5. 2 By using = 0.01 level of significance to test the claim that the touch therapists make their selections with a method equivalent to random guesses. Among 280 trials, the touch therapists were correct 123 times and wrong the other times The Hypotheses can be expressed as H0 p = 0.5 (proportion of touch therapists were correct = 0.5) H : p > 0.5 (proportion of touch therapists were incorrect) 1