Inferential Statistics Performance Task Problem 1: (20 points) Two hundred fifty AIDS victims during 2000 had only 1% chance of survival. After 3 years, a new medication was found and tested. A total of 500 AIDS victims have been treated and 15 have survived. Does this result show that the new medication is more successful than the old one? Use 0.05 level of significance Problem 2: (20 points) A celebrity's endorsement of the activity launch by the local government on community outreach program. A group of 298 viewers was shown an ad containing a popular artist endorsing the program, and a second group of 247 was shown the same ad but using an unknown artist. Each participant rated the believability of the endorsement on a scale of 1 (not believable) to 5 (very believable). Results were as follows: Type of Endorser Mean Std. Dev. Popular Artist 3.87 1.25 Unknown Artist 3.50 1.03 Is there sufficient evidence to indicate that the use of a popular celebrity's endorsement results in a true believability rating different from the true mean rating for unknown celebrity's endorsement? Use 0.05 level of significance in testing a hypothesis