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 265 ​trials, the touch therapists were correct 105 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?

Answer 1

Test Statistics

The z-statistic is computed as follows:

Answer : Test Statistic ( z ) = -3.38

p-value

Using the P-value approach:

The p-value is p=0.0004

since p=0.0004<0.05

it is concluded that the null hypothesis is rejected.

Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is no enough evidence to claim that that touch therapists use a method equivalent to random guesses , at the α=0.05 significance level

the results suggest that touch therapists are​ effective