In: Statistics and Probability
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 288 trials, the touch therapists were correct 126 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 test statistic for this hypothesis test.
Identify The P-value for this hypothesis test
If
P-valueless than or equals≤alphaα,
reject
Upper H 0H0.
If
P-valuegreater than>alphaα,
fail to reject
Upper H 0H0.
Then, use this information to state a final conclusion that addresses the original claim with wording that can be understood by those without knowledge of statistical procedures.
Think about what the test statistic says about whether the proportion observed is low or high.