Researchers find that a preventative health care program implemented in Anytown reduces emergency room visits to a mean of .50 per household per year. You sample 105 low-income households in Anytown and find that their mean number of visits to an emergency room in the past year was .65, with a standard deviation of .41. You want to assess whether the preventative health care program is working as well for low-income residents as it is for residents overall.

a. Conduct each of the steps of a hypothesis test (at an alpha-level of .05) for this question.

b. Discuss the practical significance of the findings.

c. Estimate a 95% confidence interval for the annual number of emergency room visits for low-income households. Explain what this interval means.