In: Statistics and Probability
A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. Suppose that a recent sample of 1,000 adults showed 460 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 850 adults showed 340 indicating that their financial security was more than fair.
(a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years.
(b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion?
(c) What is the 95% confidence interval estimate of the difference between the two population proportions? What is your conclusion?