In a radio station contest, the first prize is $2,000 and the second prize is $500. the probability of winning the first prize is 0.005 and the probability of winning the second prize is 0.008. the station runs this contest many, many times to increase its listening audience. what is the expected payout for each time the station offers the opportunity to win the prizes?
$2,300
$500
$100
$14
$10

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