Number 13

In a science fairproject, 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 lefthand, and then she asked the therapists to identify the selected hand by placing their hand just underEmily's hand without seeing it and without touching it. Among 272 trials, the touch therapists were correct 123 times. Complete parts(a) through(d).

a. Given that Emily used a coin toss to select either her right hand or her lefthand, what proportion of correct responses would be expected if the touch therapists made randomguesses?

------ (Type an integer or a decimal. Do notround.)

b. UsingEmily's sampleresults, what is the best point estimate of thetherapists' successrate?

-------- (Round to three decimal places asneeded.)

c. UsingEmily's sampleresults, construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists.

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