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1.4 par1 You may need to use the appropriate appendix table or technology to answer this question. A certain nancial services company uses surveys of
1.4 par1
You may need to use the appropriate appendix table or technology to answer this question. A certain nancial 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 nancial security was more than fair. (a) State the hypotheses twat can be used to test for a signicant 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 nancial security more than fair. Enter != for a as needed.) H0: H : a (b) Conduct the hypothesis test and compute the p-value. At a 0.05 level of significance, what is your conclusion? Find the value of the test statistic. (Use p1 p2. Round your answer to two decimal places.) :1 Find the p-value. (Round your answer to four decimal places.) State your conclusion. 0 Do not reject H0. There is insufcient evidence to conclude the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their financial security is more than fair. 0 Do not reject H0. There is sufficient evidence to conclude the population proportions are not equal. The data suggest that there has been a change in the population proportion saying that their nancial security is more than fair. 0 Reject HO. There is sufficient evidence to conclude the population proportions are not equal. The data suggest that there has been a change in the population proportion saying that their nancial security is more than fair. 0 Reject HO. There is insufficient evidence to conclude the population proportions are not equal. The data do not suggest that there has been a change in the population proportion saying that their nancial security is more than fair. (c) What is the 95% confidence interval estimate of the difference between the two population proportions? (Round your answers to four decimal places.) :1 to :l What is your conclusion? The 95% condence interval ---Seleot--- v zero, so we can be 95% confident that the population proportion of adults saying that their financial security is more than fair ---Select--- VStep by Step Solution
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