A 9-year-old girl did a science fair experiment in which she tested professional

Question

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 268 trials, the touch therapists were correct 117 times. Use a 0.05 signiicance 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 nul and alternative hypotheses for this test. Choose the correct answer below H: p

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.5
HA : p 0.5

Hypothesis test results:

Hence,

Null and alternative hypotheses: Option C is correct.

Test statistic = -2.08

P - value = 0.038

Conclusion: Option A is correct.

are not; appears

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 117 268 0.43656716 0.030542361 -2.0768806 0.0378

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