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...




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<>



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

Jun 10, 2022
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