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 a 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. %3D (a) State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. (Let p, = population proportion m P,= population proportion from the year before saying financial security more than fair. Enter != for # as needed.) Ho (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. (Usep, Round your answer to two decimal places.) P2 Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H. There is insufficient evidence to conclude the population proportions are not equal. The data do not suggest that there has been a change more than fair, O Do not reject H. There is sufficient evidence to conclude the population proportions are not equal. The data suggest that there has been a change in the p- fair. O Reject H: There is sufficient evidence to conclude the population proportions are not equal. The data suggest that there has been a change in the populati O 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 fair. (c) What is the 95% confidence interval estimate of the difference between the two population proportions? (Round your answers to four decimal places.) to What is your conclusion? The 95% confidence interval Select- | zero, so we can be 95% confident that the population proportion of adults saying that their financial security is

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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 p, = population proportion most recently saying financial security more than fair and
P, = population proportion from the year before saying financial security more than fair. Enter != for # as needed.)
Ho
Ha
(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 p,-P. Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
%3D
State your conclusion.
O Do not reject H. 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 financial security is
more than fair.
O Do not reject H. 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 financial security is more than
fair.
O 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 financial security is more than fair.
O Reject H0: 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 financial security is more than
fair.
(c) What is the 95% confidence interval estimate of the difference between the twio population proportions? (Round your answers to four decimal places.)
to
What is your conclusion?
The 95% confidence interval
zero, so we can be 95% confident that the population proportion of adults saying that their financial security is more than fair-Select-
Select-
Transcribed Image Text: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 p, = population proportion most recently saying financial security more than fair and P, = population proportion from the year before saying financial security more than fair. Enter != for # as needed.) Ho Ha (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 p,-P. Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. O Do not reject H. 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 financial security is more than fair. O Do not reject H. 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 financial security is more than fair. O 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 financial security is more than fair. O Reject H0: 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 financial security is more than fair. (c) What is the 95% confidence interval estimate of the difference between the twio population proportions? (Round your answers to four decimal places.) to What is your conclusion? The 95% confidence interval zero, so we can be 95% confident that the population proportion of adults saying that their financial security is more than fair-Select- Select-
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