Jacob is solving the equation below using successive approximations.2^x-4=3^-x-2 he started from a graph where he found the solution to be between 1 and 2. using the lower and upper bounds from the graph, jacob did the following work for the first iteration. step 1 rewrite the equation so that it equals zero on one side. step 2 evaluate the rewritten equation at the lower and upper bounds. to find the solution that lies between 1 and 2, set these values as the lower and upper bounds while finding the solution. step 3 take the average of the lower and upper bounds. step 4 evaluate the rewritten equation at x = . step 5 since this value is positive, replace the previous lower bound so that the bounds are now x = and x = 2. where did jacob make a mistake, and what was the error?

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test