The function \[n(t)=\frac{ 300 }{ 1+299e ^{-0.36t} }\] describes the spread of a rumor among a group of people in an enclosed space. n represents the number of people who have heard the rumor, and t is measured in minutes since the rumor was started. which of the following statements are true? check all that apply.

a. there are 300 people in the enclosed space.
b. it will take 30 minutes for 100 people to hear the rumor.
c. the rate at which the rumor spreads speeds up over time.
d. initially, one person had heard the rumor.

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