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 269269 ​trials, the touch therapists were correct 107107 times. Use a 0.050.05 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. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pnot equals≠0.50.5 This is the correct answer.   B. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pgreater than>0.50.5   C. Upper H 0H0​: pequals=0.50.5 Upper H 1H1​: pless than<0.50.5 Your answer is not correct.   D. Upper H 0H0​: pnot equals≠0.50.5 Upper H 1H1​: pequals=0.50.5 Identify the test statistic for this hypothesis test.   The test statistic for this hypothesis test is   ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test.   The​ P-value for this hypothesis test is   ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test.     A. Fail to rejectFail to reject Upper H 0H0. There isis sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.   B. RejectReject Upper H 0H0. There is notis not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.   C. RejectReject Upper H 0H0. There isis sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. Your answer is correct.   D. Fail to rejectFail to reject Upper H 0H0. There is notis not sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses. Do the results suggest that touch therapists are​ effective?   The results suggest that the touch therapists performed     random​ guesses, so they     to be effective

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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
269269
​trials, the touch therapists were correct
107107
times. Use a
0.050.05
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.
Upper H 0H0​:
pequals=0.50.5
Upper H 1H1​:
pnot equals≠0.50.5
This is the correct answer.
 
B.
Upper H 0H0​:
pequals=0.50.5
Upper H 1H1​:
pgreater than>0.50.5
 
C.
Upper H 0H0​:
pequals=0.50.5
Upper H 1H1​:
pless than<0.50.5
Your answer is not correct.
 
D.
Upper H 0H0​:
pnot equals≠0.50.5
Upper H 1H1​:
pequals=0.50.5
Identify the test statistic for this hypothesis test.
 
The test statistic for this hypothesis test is
 
​(Round to two decimal places as​ needed.)
Identify the​ P-value for this hypothesis test.
 
The​ P-value for this hypothesis test is
 
​(Round to three decimal places as​ needed.)
Identify the conclusion for this hypothesis test.
 
 
A.
Fail to rejectFail to reject
Upper H 0H0.
There
isis
sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.
 
B.
RejectReject
Upper H 0H0.
There
is notis not
sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.
 
C.
RejectReject
Upper H 0H0.
There
isis
sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.
Your answer is correct.
 
D.
Fail to rejectFail to reject
Upper H 0H0.
There
is notis not
sufficient evidence to warrant rejection of the claim that touch therapists use a method equivalent to random guesses.
Do the results suggest that touch therapists are​ effective?
 
The results suggest that the touch therapists performed
 
 
random​ guesses, so they
 
 
to be effective
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