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 273 ​trials, the touch therapists were correct 120 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? Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.5 Upper H 1​: pgreater than0.5 B. Upper H 0​: pnot equals0.5 Upper H 1​: pequals0.5 C. Upper H 0​: pequals0.5 Upper H 1​: pnot equals0.5 D. Upper H 0​: pequals0.5 Upper H 1​: pless than0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is nothing. ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test. A. Fail to reject Upper H 0. There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

Answer 1

The statistical software output for this problem is:

Hence,

Hypotheses: Option C is correct.

Test statistic = -2.00

P-value = 0.046

Conclusion: Reject Ho. There is sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.