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 256 ​trials, the touch therapists were correct 100 times. Use a 0.05 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

Identify the test statistic for this hypothesis test.

Identify the conclusion for this hypothesis test.

A.Fail to reject Upper H 0H0.

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

B.Reject Upper H 0H0.

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

C.Fail to reject Upper H 0H0.

There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses

D. Reject Upper H 0H0.

There is not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.

Do the results suggest that touch therapists are​ effective?

Answer 1

Let p denotes the true proportion of correct guesses.

ans-> B) Reject H₀.

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