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 290
trials, the touch therapists were correct 133 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?
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 90% confidence
interval estimate of the proportion of the correct responses made
by touch therapists.
D) What do the results suggest about the ability of touch
therapists to select the correct hand by sensing energy fields?