Answer both parts of the following problem. Be sure to show formulae and necessa

Question

Answer both parts of the following problem. Be sure to show formulae and necessary calculations. Recent results suggest that children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To test this claim, a researcher obtains a random sample of n = 36 children, 8 to 2 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 M = 4.9 hours. It is known that the average time for the general population of 8 to 12-year-old children is mu = 4.1 hours with sigma = 1.8. a. Identify the IV and DV. b. Are the data sufficient to conclude that children with ADHD watch significantly more TV than children without the disorder?

Explanation / Answer

a) IV is diagnosed with ADHD?. There is only one level in the sample

DV is hours/day spent on watching TV.

b) Ho: u(AD)-u(gen) = 0
Ha: u(AD)-u(gen) > 0

This is a right tail z test with alpha=.05
test statistic, z = (4.9-4.1)/[1.8/sqrt(36)]=2.67

p-value = 0.00379

The result is significant at p <0.05

This is sufficient to conclude children with ADHD watch significantly more tv.

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