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 354 ​trials, the touch therapists were correct 170 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

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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
354
​trials, the touch therapists were correct
170
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<p<
 
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?
 
 
A.
Since the upper confidence limit is above​ 0.5, there appears to be evidence that touch therapists can select the correct hand by sensing energy fields.
 
B.
Since the confidence interval is not entirely below​ 0.5, there appears to be evidence that touch therapists can select the correct hand by sensing energy fields.
 
C.
Since the confidence interval is not entirely above​ 0.5, there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields.
 
D.
Since the lower confidence limit is below​ 0.5, there does not appear to be sufficient evidence that touch therapists can select the correct hand by sensing energy fields.
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