Which arc has the longer radius, an arc with a length of 16π with central angle 2π/3, or an arc with a length of 12π with central angle 4π/5? Explain. -The second arc has a longer radius because the ratio of the central angle to the arc length is greater.

-The first arc has a longer radius because it has the greater arc length.

-The first arc has a longer radius because the ratio of the arc length to the central angle is greater.

-The second arc has a longer radius because it has the greater central angle.

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