Question

o A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense har energy told She tioped a coin to select other 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 & Among 287 is the touch therapists were correct 123 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 nul and alternative hypotheses for this test. Choose the correct answer below. OA Hop=0.5 Hy:p>0.5 0 & Họ pm 0,5 HP<0.5 OB HOP:05 Hp0.5 OD HD 0.5 HpH05 Identify the test statistik for this hypothesis best The test statistic for this hypothesis testis (Round to two decimal places as needed)

Answer 1

Оо не р 0.5 нро

sample success x   =		123
sample size          n    =		287
std error σp =√(p*(1-p)/n) =		0.0295
sample prop p̂ = x/n=123/287=		0.4286
z =(p̂-p)/σp=(0.429-0.5)/0.03=		-2.42

p value                          =

0.016

(from excel:2*normsdist(-2.42)

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

worse than .........do not appear to be effective