Question

You may need to use the appropriate appendix table or technology to answer this question.

A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time. A recent sample of 1,000 adults showed 410 indicating that their financial security was more than fair. Suppose that just a year before, a sample of 1,100 adults showed 385 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. (Let p1 = population proportion most recently saying financial security more than fair and p2 = population proportion from the year before saying financial security more than fair. Enter != for ≠ as needed.)
H0:
Ha:

Answer 1

The null hypothesis (H0) states that there is no significant difference between the population proportions of adults indicating their financial security was more than fair in two different years. The alternative hypothesis (Ha) states that there is a significant difference between the proportions.

Step-by-step explanation:

The hypothesis test is evaluating whether there is a significant difference between the population proportions of adults indicating their financial security was more than fair in two different years. Let p1 represent the population proportion most recently, and p2 represent the population proportion from the year before. The null hypothesis (H0) states that there is no significant difference between the proportions: p1 = p2. The alternative hypothesis (Ha) states that there is a significant difference between the proportions: p1 != p2.