Question
When she was 9 years of age, a 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 280 trials, the touch therapists were correct
123 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?
Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses.
(Type integers or decimals. Do not round)
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 280 trials, the touch therapists were correct
123 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?
Let p denote the population proportion of correct hand selections by touch therapists. Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses.
(Type integers or decimals. Do not round)
Ask by Frazier Ward. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Null Hypothesis (
Alternative Hypothesis (
Solution
Step 1. Define the parameter
Let
Step 2. State the null and alternative hypotheses
Since the claim is that the therapists use a method that is equivalent to random guessing, the null hypothesis is that they have a
If the therapists were effective (i.e. better than random guessing), we would expect their rate to be higher than
The hypotheses are:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To test the claim that touch therapists are equivalent to random guesses, we first need to set up our hypotheses.
The null hypothesis (H₀) states that the proportion of correct guesses by touch therapists is equal to that of random guessing. Since there are two hands, the probability of guessing correctly by chance is 0.5. Thus, we can express this as:
H₀: p = 0.5
H₀: p = 0.5
The alternative hypothesis (H₁) posits that the proportion of correct guesses by touch therapists is not equal to that of random guessing. Therefore, we write:
H₁: p ≠ 0.5
H₁: p ≠ 0.5
With this setup, we can proceed to analyze the data from the science fair experiment.
