mpped a When she was 9 years of age a girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy 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 her hand without seeing it and without touching it Among 280 trials the touch therapists were correct 123 times Use a 0 10 significance level to test the claim that touch therapists use a method equivalent to random guesses Do the results suggest that touch therapists are effective Let p denote the population proportion of correct hand selections by touch therapists Identify the null and alternative hypotheses to test the claim that touch therapists use a method equivalent to random guesses Ho P 0 50 H P 0 50 Type integers or decimals Do not round Identify the test statistic z 2 03 Round to two decimal places as needed Identify the P value P value Round to three decimal places as needed