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 285​trials, the touch therapists were correct 130 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 make random​ guesses? B.) Using​ Emily's sample​ results, what is the best point estimate of the​ therapists' success​ rate? C.) Using​ Emily's sample​ results, construct a 95​% confidence interval estimate of the proportion of correct responses made by touch therapists.

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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 285​trials, the touch therapists were correct 130 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 make random​ guesses?

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

C.) Using​ Emily's sample​ results, construct a 95​% confidence interval estimate of the proportion of correct responses made by touch therapists.

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