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Country Financial, a nancial services company, uses surveys of adults age 13 and older to determine whether personal nancial tness is changing over time. A

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Country Financial, a nancial services company, uses surveys of adults age 13 and older to determine whether personal nancial tness is changing over time. A recent sample of 1000 adults showed 410 indicating that their nancial security was more than fair. Just a year prior, a sample of 901] adults showed 315 indicating that their nancial security was more than fair. 3. State the hypotheses that can be used to test for a signicant difference between the population proportions for the two years. H,=,.__@ H,,,,-_ ll. Conduct the hypothesis test and compute the pyalue. Round your answer to four decimal places. pyalue = 9 At a: = 0.05 leyel of signicance, what is your conclusion? I. Reject Ha. There is not sufcient evidence to conclude that 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. 11. Reject Hi}. There is sufcient eyidence to conclude that 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. [11. Do not reject Hg . There is not sufcient evidence to conclude that 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. IV. Do not reject HI} . There is sufcient evidence to conclude that 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. @ c. What is the 95% condence interyal estimate of the difference between the two population proportions? Round your answers to four decimal places. 95% Condence Interyalf .0163 9 to .1113? 9}

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