The committee deciding on the TV commercial purchases is allocating their budget
ID: 3332162 • Letter: T
Question
The committee deciding on the TV commercial purchases is allocating their budget. They decide to advertise during 4 shows, Good Wife, NCIS, Sunday Night NFL and Big Bang Theory. One committee member decides to gather some statistics on the favorite/preferred shows of a group of adults. Each person surveyed indicated their single preferred show. No one was allowed to list more than one show. She finds that 30% of the adults are 18-39 years old, 40% are 40-62 years old and the rest are over 62. Of the oldest adults surveyed, she finds that 36 and 2/3 percent prefer NCIS, 26 and 2/3 percent prefer Sunday Night Football, 21 and 2/3 percent prefer the Big Bang Theory. Of those 40-62, fifteen percent prefer the Good Wife, 25% prefer NCIS, and 45% prefer the Big Bang Theory. Of those 18-39, fifteen percent prefer the Good Wife, 30% prefer NCIS, and twenty percent prefer Sunday Night football. 2.7. Are age and preferred TV show statistically independent? A. both B. yes C. no The committee deciding on the TV commercial purchases is allocating their budget. They decide to advertise during 4 shows, Good Wife, NCIS, Sunday Night NFL and Big Bang Theory. One committee member decides to gather some statistics on the favorite/preferred shows of a group of adults. Each person surveyed indicated their single preferred show. No one was allowed to list more than one show. She finds that 30% of the adults are 18-39 years old, 40% are 40-62 years old and the rest are over 62. Of the oldest adults surveyed, she finds that 36 and 2/3 percent prefer NCIS, 26 and 2/3 percent prefer Sunday Night Football, 21 and 2/3 percent prefer the Big Bang Theory. Of those 40-62, fifteen percent prefer the Good Wife, 25% prefer NCIS, and 45% prefer the Big Bang Theory. Of those 18-39, fifteen percent prefer the Good Wife, 30% prefer NCIS, and twenty percent prefer Sunday Night football.Explanation / Answer
Assume event B denote age group 18-39, and event A denote 18-39 years old who like to watch Good wife. From information given, P(B)=0.30, P(A|B)=0.15
For two events to be independent, P(A|B)=P(A), but 0.15=/=0.30. Thus, two events are not independent. c.