5. A psychologist gave a test measuring anxiety, the State-Trait Anxiety Inventory (STAI), to a sample of 60 abused children and found that 52 had above average anxiety levels.

(a) Calculate the sample proportion.

(b) Calculate a 99% confidence interval for the true proportion of abused children with above average anxiety levels.

(c) Explain why it either would be or would not be reasonable to conclude that this data provide statistically significant evidence that the majority of abused children have above average anxiety levels.