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In: Statistics and Probability

A certain financial services company uses surveys of adults age 18 and older to determine if...

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?

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