Minnesota had the highest turnout rate of any state for the 2012 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 630 of 840 registered voters from rural Minnesota voted in the 2012 presidential election, while 378 out of 525 registered voters from urban Minnesota voted.

(a)

Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 presidential election. (Let p₁ = the population proportion of voters in rural Minnesota who voted in the 2012 election and p₂ = the population proportion of voters in urban Minnesota who voted in the 2012 election.)

H₀: p₁ − p₂ ≥ 0

H_a: p₁ − p₂ < 0

H₀: p₁ − p₂ = 0

H_a: p₁ − p₂ ≠ 0

H₀: p₁ − p₂ < 0

H_a: p₁ − p₂ = 0

H₀: p₁ − p₂ ≤ 0

H_a: p₁ − p₂ > 0

H₀: p₁ − p₂ ≠ 0

H_a: p₁ − p₂ = 0

(b)

What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 presidential election?

(c)

What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 presidential election?

(d)

At

α = 0.05,

test the political analysts' hypothesis.

Calculate the test statistic. (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

p-value =

What conclusion do you draw from your results?

Do not reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2012 Presidential election.Reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2012 Presidential election.    Reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2012 Presidential election.Do not reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2012 Presidential election.

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514.† SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

(a)

Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. (Let μ₁ = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ₂ = population mean verbal score of students whose parents are high school graduates but do not have a college degree.) For purposes of this study, assume the population variances are unequal when conducting the t-test.

H₀: μ₁ − μ₂ ≥ 0

H_a: μ₁ − μ₂ < 0

H₀: μ₁ − μ₂ < 0

H_a: μ₁ − μ₂ = 0

H₀: μ₁ − μ₂ = 0

H_a: μ₁ − μ₂ > 0

H₀: μ₁ − μ₂ ≠ 0

H_a: μ₁ − μ₂ = 0

H₀: μ₁ − μ₂ = 0

H_a: μ₁ − μ₂ ≠ 0

(b)

What is the point estimate of the difference between the means for the two populations?

(c)

Find the value of the test statistic. (Round your answer to three decimal places.)

Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)

p-value =

(d)

At

α = 0.05,

what is your conclusion?

Reject H₀. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.Do not Reject H₀. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.      Do not reject H₀. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.Reject H₀. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 615 of 820 registered voters from rural Minnesota voted in the 2016 presidential election, while 378 out of 525 registered voters from urban Minnesota voted.

(a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p₁ = the population proportion of voters in rural Minnesota who voted in the 2016 election and p₂ = the population proportion of voters in urban Minnesota who voted in the 2016 election.)

(b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?

(d) At α = 0.05, test the political analysts' hypothesis. Calculate the test statistic. (Round your answer to two decimal places.)

(e) What is the p-value? (Round your answer to four decimal places.

What conclusion do you draw from your results?

a) Reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. b) Do not reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. c) Reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. d) Do not reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.

Which of the following has the highest Present Value? Select one: a. $1,200/yr. for 10 years discounted at 10%. b. $1,200/yr. for 10 years discounted at 8%. c. $1,000/yr. for 10 years discounted at 10%. d. $1,000/yr. for 10 years discounted at 8%. e. $1,200/yr. for 12 years discounted at 8%.

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514.† SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

College Grads 485            503

550        517

666        542

554        394

534        531

572        562

497        448

576        469

High School Grads 442 492

580        478

479        425

486        485

528        390

524        535

(a)

Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. (Let μ1 = population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ2 = population mean verbal score of students whose parents are high school graduates but do not have a college degree.) For purposes of this study, assume the population variances are unequal when conducting the t-test.

H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

H0: μ1 − μ2 < 0

Ha: μ1 − μ2 = 0

H0: μ1 − μ2 ≥ 0

Ha: μ1 − μ2 < 0

H0: μ1 − μ2 = 0

Ha: μ1 − μ2 > 0

H0: μ1 − μ2 ≠ 0

Ha: μ1 − μ2 = 0

(b)

What is the point estimate of the difference between the means for the two populations?

(c)

Find the value of the test statistic. (Round your answer to three decimal places.)

Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)

p-value =

(d)

At

α = 0.05,

what is your conclusion?

Reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not reject H0. There is insufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.     Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates. Do not Reject H0. There is sufficient evidence to conclude that higher population mean verbal scores are associated with students whose parents are college graduates.

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

39 is the point estimate of the difference between the means for the two populations.

A. Find the value of the test statistic. (Round your answer to three decimal places.)

B. Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)

4.which of the following Parsons has the highest risk for diabetes hypertension and heart disease?
a.a man with BMI 24 and total body fat 27% b.a woman with BMI 42 and total body fat 12 c.a man with BMI 29 and was it circumference 37 inches d.a woman with BMI 27 and waist circumference 36 inches

5.deficiency of most be vitamins will initially cause
a.diarrhea b.Low energy c.loss of taste d.hair loss

6.breast-feeding provides all of the following benefits to the mother except

a. Higher energy expenditure and potential of weight loss B. Time and cost savings C. Earlier return of ovulation D. Contraction of the uterus back to normal

2. In terms of estimating population parameters using sample statistics, one would think that the highest level of confidence in an estimate (in other words, the 99% confidence level) would always be preferred by researchers.

A. What is/are the advantage(s) of reporting a confidence interval at the 99% confidence level?

B. Explain why researchers might rather choose a lower level of confidence (say the 95% or 90% confidence level) in their estimation of confidence intervals.

Show all work, do not use outside interval calculator.

Voter Turnout. Minnesota had the highest turnout rate of any state for the 2016 presidential election. (United States Election Project website) Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted.

1. Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election.
2. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?
3. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election?
4. At α = 0.05, test the political analysts' hypothesis. What is the p-value and what conclusion do you draw from your results?

Rank the following three stocks by their total risk level, highest to lowest. Night Ryder has an average return of 10 percent and standard deviation of 27 percent. The average return and standard deviation of WholeMart are 11 percent and 30 percent; and of Fruit Fly are 16 percent and 20 percent.