Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial ecurity was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. .State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. do : Pi- Pa equal to 0 3: P - Pa not equal to o . Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. value - t a 0.05 level of significance, what is your conclusion? 1. Reject Ho. There is not sufficient 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 financial security is more th fair. 1. Reject Ho. There is sufficient 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 financial security is more than fair. 1. Do not reject H9. There is not sufficient 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 financial security is more than fair. . Do not reject Ho. There is sufficient 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 financial security is more than fa II .What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places. 5% Confidence Interval ( to
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial ecurity was more than fair. Just a year prior, a sample of 900 adults showed 315 indicating that their financial security was more than fair. .State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. do : Pi- Pa equal to 0 3: P - Pa not equal to o . Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places. value - t a 0.05 level of significance, what is your conclusion? 1. Reject Ho. There is not sufficient 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 financial security is more th fair. 1. Reject Ho. There is sufficient 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 financial security is more than fair. 1. Do not reject H9. There is not sufficient 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 financial security is more than fair. . Do not reject Ho. There is sufficient 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 financial security is more than fa II .What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places. 5% Confidence Interval ( to
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Country Financial, a financial services company, uses surveys of adults age 18 and older to determine whether personal financial fitness is changing over time. A recent sample of 1000 adults showed 410 indicating that their financial
security was more than fair. Just a year prior, a sample of 900 adults showed 315 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.
P2 equal to 0
Id: °H
P2 not equal to 0
Ha : P1
b. Conduct the hypothesis test and compute the p-value. Round your answer to four decimal places.
p-value =
At a = 0.05 level of significance, what is your conclusion?
I. Reject Ho. There is not sufficient 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 financial security is more than
fair,
II. Reject Ho. There is sufficient 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 financial security is more than fair.
III. Do not reject Ho. There is not sufficient 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 financial security is
more than fair.
IV. Do not reject Ho. There is sufficient 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 financial security is more than fair.
II
c. What is the 95% confidence interval estimate of the difference between the two population proportions? Round your answers to four decimal places.
95% Confidence Interval
to
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