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.
- What is the proportion of Type II diabetics in the town that take insulin?
- Check this data for the necessary conditions for each type of confidence interval on a proportion.
- Calculate a 95% confidence interval for the proportion of Type II diabetic patients using insulin in this town.
- 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.
- 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.