Question

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 337 ​trials, the touch therapists were correct 162 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 less than p less than 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 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. B. 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. C. 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. D. 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. Click to select your answer(s).

Answer 1

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?

0.50

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

0.481

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

0.427 < p < 0.534

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

D. 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.

Please give me a thumbs-up if this helps you out. Thank you!