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. 6. A newspaper article headline stated "Poll: Most Workers See Job Switch in 5 Years." You are asked to use the data from the poll to assess if a majority of workers expect to leave their job within the next five years (that is, assess if the proportion is more than 0.50). A simple random sample of 714 workers was taken as part of a Harris Poll. Among these 714 workers, 380 stated that they expect to leave their job within the next five years. (a) Give the statistical hypothesis to be tested. (b) Calculate and report the p-value. (c) Are the data statistically significant at a 5% level of significance? (e) Calculate and give the 95% confidence interval for the population proportion of workers who expect to see a job switch in 5 years. (f) Can the confidence interval from part e be used to draw the same conclusion as the hypothesis test? Explain why or why not