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 349 trials, the touch therapists were correct 161 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 expect if the touch therapists made random guesses? (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? (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.

Diagonalize the matrices in Exercises 7-20, if possible. The roul eigenvalues for Exercises 11-16 and 18 are included below the matrix.

-6) 43

M.20 13