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 112 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? a) Identify the null and alternative hypotheses for this test. Choose the correct answer below. b) Identify the test statistic c) Identify the P-value d) Identify the conclusion 1) fail to reject. There is not sufficient evidence.
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 112 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?
a) Identify the null and alternative hypotheses for this test. Choose the correct answer below.
b) Identify the test statistic
c) Identify the P-value
d) Identify the conclusion
1) fail to reject. There is not sufficient evidence.
2) fail to reject. There is sufficient evidence.
3) reject. There is sufficient evidence.
4. reject. There is not sufficient evidence.
e) Do the results suggest that touch therapists are effective?
The results suggest that the touch therapists performed ____(similiar/better/worse)___ than random guesses, so they __(appear/do not appear)__ to be effective.
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