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"When she was 9 years old, a girl conducted a science fair experiment to test if professional touch therapists could sense her energy field. She flipped a coin to select either her right hand or her left hand, then asked the therapists to identify the selected hand by placing their hand just under hers without seeing or touching it. Among the 274 trials, the touch therapists were correct 121 times.
Use a 0.10 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?"
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Answer
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Step 1I'll solve this hypothesis testing problem step by step using the appropriate statistical approach.
Step 2: Define the Hypotheses
- Null Hypothesis ($$H_{0}$$): The touch therapists' ability is no better than random guessing (probability of success = 0.5)
- Alternative Hypothesis (H_{1}): The touch therapists' ability is different from random guessing
Final Answer
The results indicate the therapists may have some ability beyond chance.
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