A 9-year-old girl did a science fair experiment in which she tested professional

Question

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 283 trials, the touch therapists were correct 125 times. Use a 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? ldentify the null and alternative hypotheses for this test. Choose the correct answer below A. Ho:p=0.5 HI : p#0.5 C Ho:p=0.5 B. Ho:p=0.5 H1: p> 0.5 Ho:p#0.5 H1 : p = 0.5 D. H1: p

Explanation / Answer

Indentify the test statistic is z test

Test Statistic = -2.02

Given, Null Hypothesis (P) = 0.5 Alternative Hypothesis (P) =/= 0.5 n = 283 p = 0.44 Standard Deviation (SD) = sqrt(P*(1-P)/n) = 0.030 Standard Error (S.E) = 0.001767 Z    = ( p - P) / SD Z    = -2.02

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