Recent results suggest that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this relationship, a researcher obtains a random sample of n=36 children, 8 - 12 years old, who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average daily time for the sample is 4.9 hours. It is known that the average time for the general population of 8 - 12 year children is µ=4.1 hours with σₓ=1.8. Using α=0.05 decide whether the data are sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder.
(a) State the null and alternative hypotheses.