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. S

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 346 ​trials, the touch therapists were correct

158 times. Complete parts​ (a) through​ (d).

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Part 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?

enter your response here

​(Type an integer or a decimal. Do not​ round.)

b. Using Emily's sample result, what is the best point estimate of the therapist success rate?

Answer 1

a. Given that Emily used a coin toss to select either her right hand or her left hand, the expected proportion of correct responses if the touch therapists made random guesses would be 0.5. This is because there are two possible outcomes (right hand or left hand), and each outcome has an equal probability of 0.5.

b. The best point estimate of the therapist success rate can be calculated by dividing the number of correct responses (158) by the total number of trials (346):

Point Estimate = Number of Correct Responses / Total Number of Trials

Point Estimate = 158 / 346

Point Estimate ≈ 0.456

Therefore, the best point estimate of the therapist success rate is approximately 0.456 or 45.6%.