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 278   ​trials, the touch therapists were correct 111   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 ​: pequals 0.5 Upper H 1 ​: pless than 0.5     B. Upper H 0 ​: pequals 0.5 Upper H 1 ​: pnot equals 0.5     C. Upper H 0 ​: pnot equals 0.5 Upper H 1 ​: pequals 0.5     D. Upper H 0 ​: pequals 0.5 Upper H 1 ​: pgreater than 0.5 b) the test statistic for this hypothesis = c) the p-value = c) the conclusion for the test

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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

278
 

​trials, the touch therapists were correct

111
 

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
​:
pequals

0.5

Upper H 1
​:
pless than

0.5

 
 
B.
Upper H 0
​:
pequals

0.5

Upper H 1
​:
pnot equals

0.5

 
 
C.
Upper H 0
​:
pnot equals

0.5

Upper H 1
​:
pequals

0.5

 
 
D.
Upper H 0
​:
pequals

0.5

Upper H 1
​:
pgreater than

0.5

b) the test statistic for this hypothesis =

c) the p-value =

c) the conclusion for the test

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