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 coi 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 163 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 0.5 (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best poinf estimate of the therapists' success rate? (Round to three decimal places as needed.)

To determine the expected proportion of correct responses from the touch therapists, given a random coin toss where the chance of guessing correctly is 0.5, we would simply use the probability of the two options - left or right hand. Therefore, the expected correct responses would be 0.5. For part b, if Emily conducted her experiment 163 times, we need to find how many correct responses were recorded by the therapists to find the best point estimate of their success rate. If we assume that therapists guessed correctly a certain number of times, you would divide that number by 163. For instance, if they were correct 90 times, you would do 90/163, which approximates to around 0.552 when rounded to three decimal places. The exact number of correct responses will provide the actual estimate.