In a science fair​ project, Emily conducted an 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...




In a science fair​ project, Emily conducted an 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​ Emily's hand without seeing it and without touching it. Among
311

​trials, the touch therapists were correct
142

times. Complete parts​ (a) through​ (d).




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?



nothing

​(Type an integer or a decimal. Do not​ round.)

b. Using​ Emily's sample​ results, what is the best point estimate of the​ therapists' success​ rate?



nothing

​(Round to three decimal places as​ needed.)

c. Using​ Emily's sample​ results,
construct

a
95​%

confidence interval estimate of the proportion of correct responses made by touch therapists.



nothing ​(Round to three decimal places as​ needed.)

d. What do the results suggest about the ability of touch therapists to select the correct hand by sensing energy​ fields?






Jun 04, 2022
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