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. Construct a 95% confidence interval estimate of the proportion of correct responses made by touch therapists.