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Touch Therapy When she was 9 years of age, Emily Rosa did
Chapter 7, Problem 19BSC(choose chapter or problem)
Problem 19BSC
Touch Therapy When she was 9 years of age, Emily Rosa 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, then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times (based on data in “A Close Look at Therapeutic Touch,”Journal of the American Medical Association,Vol. 279, No. 13).
a.Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
b.Using Emily’s sample results, what is the best point estimate of the therapist’s success rate?
c.Using Emily’s sample results, construct a 99% confidence interval estimate of the proportion of correct responses made by touch therapists.
d.What do the results suggest about the ability of touch therapists to select the correct hand by sensing an energy field?
Questions & Answers
QUESTION:
Problem 19BSC
Touch Therapy When she was 9 years of age, Emily Rosa 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, then she asked the therapists to identify the selected hand by placing their hand just under Emily’s hand without seeing it and without touching it. Among 280 trials, the touch therapists were correct 123 times (based on data in “A Close Look at Therapeutic Touch,”Journal of the American Medical Association,Vol. 279, No. 13).
a.Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses?
b.Using Emily’s sample results, what is the best point estimate of the therapist’s success rate?
c.Using Emily’s sample results, construct a 99% confidence interval estimate of the proportion of correct responses made by touch therapists.
d.What do the results suggest about the ability of touch therapists to select the correct hand by sensing an energy field?
ANSWER:Solution 19BSC
The given problem explains about the touch therapy. From the study it is observe that among 280 trails, the touch therapists were correct 123 times.
From the given information we have
a)
Here the researchers use a fair coin to select the sample. So the event of getting head or tail are equally likely with the probability 0.5, so the proportion of correct responses would be expected if the touch therapist made a random guess is 0.5.
b)
The best point estimate of the population proportion p is the sample proportion.
The Sample proportion is given by,
Therefore, the point estimate of the population proportion is