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 255 ​trials, the touch therapists were correct 102 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. Choose the correct answer below.     A. H0​: p=0.5 H1​: p≠0.5 Your answer is correct.   B. H0​: p≠0.5 H1​: p=0.5   C. H0​: p=0.5 H1​: p>0.5   D. H0​: p=0.5 H1​: p<0.5 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is   nothing. ​(Round to two decimal places as​ needed.)   P- value=   Identify the conclusion

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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
255
​trials, the touch therapists were correct
102
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. Choose the correct answer below.
 
 
A.
H0​:
p=0.5
H1​:
p≠0.5
Your answer is correct.
 
B.
H0​:
p≠0.5
H1​:
p=0.5
 
C.
H0​:
p=0.5
H1​:
p>0.5
 
D.
H0​:
p=0.5
H1​:
p<0.5
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
 
nothing.
​(Round to two decimal places as​ needed.)
 
P- value=
 
Identify the conclusion
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