A medical social researcher wishes to investigate the proportion of Type II diabetic patients in a given country town who take insulin to manage their diabetes. A random sample of 120 Type II diabetes patients across the medical practices in the town was surveyed and 43 reported taking insulin to manage their diabetes.

1. What is the proportion of Type II diabetics in the town that take insulin?
2. Check this data for the necessary conditions for each type of confidence interval on a proportion.
3. Calculate a 95% confidence interval for the proportion of Type II diabetic patients using insulin in this town.
4. A nationally accepted level of insulin use for from long term data is 42%. Explain if there is evidence that the Type II diabetes patients in this town have a different rate of use of insulin to the rest of the nation. NOTE that it is NOT necessary to use a separate test of significance.
5. If the researcher wanted to halve (x 1⁄2) the margin of error in the confidence interval found, what sample size would be required for the same data and level of confidence? No Full re-calculation is required for this answer.