Question: Physicians, mental health professionals, and school administrators are three groups of professionals mandated to report suspicions of child abuse and neglect to the state child protective services (CPS). The following number of reports was received by CPS from one Connecticut city during a 12-month period: physicians- 100 reports; mental health professionals- 150 reports; school administrators- 50 reports. A researcher investigates if the proportion of reports among these groups of reporters in this city is similar to the statewide proportion for these groups: physicians- 25%; mental health professionals- 50%; school administrators- 25% (4 points)

a. What is the independent variable? (¼ pt)

b. What is the dependent variable? (¼ pt)

c. What type of data is the dependent variable? (¼ pt)

d. How many samples test should you use (i.e. one, two, or k)? Describe the samples. (¼ pt)

e. Are the samples related? Justify your answer. (¼ pt)

f. What proportion of reported abuse and neglect came from mental health professionals compared to the proportion of reports for the known state population? (¼ pt)

g. What is the most appropriate statistical test to use to determine if there is a difference in reporting rates between the city and the rest of the state? Justify your answer. (½ pt)

h. What is the value of the observed test statistic? (¼ pt)

i. What is the critical value of the observed test statistic needed to reject the null hypothesis at an alpha level of .05? (¼ pt)

j. Using all the information available on the spreadsheet and in the attached tables, what is the best estimate you can make for p? (½ pt)

k. With an alpha level of .05, would you reject the null that there is no difference in reporting rates between the city and the rest of the state? (½ pt)

l. Based on this data, what group(s) accounts for the largest difference between the city and state? Justify your answer. (½ pt)