The article "College Graduates Break Even by Age 33" reported that 5.7% of high school graduates were unemployed in 2008 and 9.7% of high school graduates were unemployed in 2009.† Suppose that the reported percentages were based on independently selected representative samples of 300 high school graduates in each of these two years.

(a)Construct a 99% confidence interval for the difference in the proportion of high school graduates who were unemployed in these two years. (Use p2008 − p2009. Round your answers to three decimal places.)

B) The same article reported that 2.6% of college graduates were unemployed in 2008 and 4.6% of college graduates were unemployed in 2009. Suppose that the reported percentages were based on independently selected representative samples of 500 college graduates in each of these two years. A 95% confidence interval for the difference in the proportion of college graduates who were unemployed in these two years was calculated to be (−0.043, 0.003). Is the confidence interval from part (a) wider or narrower than this confidence interval? (Round your answers to three decimal places.)The width of the confidence interval in part (a) is _______ and the width of the given confidence interval is _________ . Thus, the confidence interval in part (a) is

Your parents have accumulated a $170,000 nest egg. They have been planning to use this money to pay college costs to be incurred by you and your sister, Courtney. However, Courtney has decided to forgo college and start a nail salon. Your parents are giving Courtney $32,000 to help her get started, and they have decided to take year-end vacations costing $10,000 per year for the next four years. Use 8 percent as the appropriate interest rate throughout this problem. Use Appendix A and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

a. How much money will your parents have at the end of four years to help you with graduate school, which you will start then? (Round your final answer to 2 decimal places.)

Funds available for graduate school?

b. You plan to work on a master’s and perhaps a PhD. If graduate school costs $29,780 per year, approximately how long will you be able to stay in school based on these funds? (Round your final answer to 2 decimal places.)

Number of years?

The state of Virginia has implemented a Standard of Learning (SOL) test that all public school students must pass before they can graduate from high school. A passing grade is 75. Montgomery County High School administrators want to gauge how well their students might do on the SOL test, but they don’t want to take the time to test the whole student population. Instead, they selected 20 students at random and gave them the test. The results are as follows:
83    79    56    93
48    92    37    45
72    71    92    71
66    83    81    80
58    95    67    78

Assume that SOL test scores are normally distributed.

1. Compute the mean and standard deviation for these dat
2. Determine the probability that a student at the high school will pass the test.
3. How many percent of students will receive a score between 75 and 95?
4. What score will put a student in the bottom 15% in SOL score among all students who take the test?
5. What score will put a student in the top 2% in SOL score among all students who take the test?

PLEASE USE EXCEL

THANK YOU

1. Questions 10 through 15 refer to the following:

   The following data concerning income and educational attainment for several counties in Alabama were taken from the U.S. Census Website.

   County	% High School Grads	Per Capita Income
   Autauga	87.6	26168
   Chilton	80.1	22045
   Coosa	72.9	18080
   Dallas	79.0	17611
   Elmore	86.8	24711
   Jefferson	89.0	28162
   Lee	88.7	24951
   Lowndes	74.8	18434
   Macon	80.5	18385
   Montgomery	85.5	26255
   Pike	80.0	20180
   Shelby	91.6	34117
   Sum	996.5	279,099
   Sum of Squares	83,144.21	6,772,411,831
   ∑xy	23,475,084.2

   10.Find the least squares regression equation for predicting per capita income using the percentage of high school graduates.

   		y = 419082.121 - 57.439x
   		y = -39729.72 + 758.510x
   		y = -6652.046 + 317.053x
   		y = -18096.537 + 474.365x
   		y = 22417.029 + 127.884x

QUESTION 11

1. Find the sample correlation coefficient between per capita income and percentage of high school graduates.

QUESTION 12

1. Find the value of the t statistic for testing H₀: β₁ = 0 vs. H_A: β₁ ≠ 0.

QUESTION 13

1. What's the p-value for the test statistic in #12?

QUESTION 14

1. Do the data provide significant evidence at the .05 level of a linear relationship between per capita income and the percentage of high school graduates?

   		yes
   		no
   		12
   		robot

QUESTION 15

1. What is the expected change in per capita income associated with a 1% increase in the proportion of high school graduates?

Question 3

In a study conducted on 335 primary school students in a small district in Malaysia, students at primary levels 4-6 were asked which goal in terms of good grades, athletic ability or popularity (being popular in school) was most important to them. A two-way table (Table 3.1) separating the students by their educational levels and goals is shown below:

Table 3.1

a. To investigate possible differences among the students' goals by educational levels, a researcher suggested that it is useful to compute the column percentages. You are required to compute the column percentages and explain the meaning of these percentages. Do the results suggest that there is much of a variation in goals across the three educational levels?                                                                                         

b. The dataset from the same study now divides the students' responses into "Urban," "Suburban," and "Rural" school areas as shown in Table 3.2.You are required to conduct a Chi-Squared test to investigate whether there is an association between school area and the students' goals of getting good grades, athletic ability or popularity as most important to them?

Table 3.2

***Must provide explanation for each question and graph if applicable!!!!

2. Some firms offer workers much more job security than other firms do. Assuming the jobs are otherwise similar, we would expect to see
   1. increased wages to workers in firms with more job security.
   2. decreased wages to workers in firms with more job security.
   3. no relationship between wages and job security.
   4. the direction of the relationship is ambiguous.
3. The average difference in earnings between college and HS graduates in their 30s
   1. is increased by average differences in innate ability.
   2. is decreased by differences in human capital accumulated after leaving school.
   3. would be higher if job benefits were considered.
   4. none of the above.
   5. two or more of the above are correct. (Specify which)
4. How are unemployment rates in the United States related to education?
   1. Unemployment rates are unrelated to education.
   2. Higher levels of education are associated with higher rates of unemployment.
   3. Higher levels of education are associated with lower rates of unemployment.
   4. Unemployment rates are highest for high school dropouts but are unrelated to education for anyone who has a high school degree.
   5. Unemployment rates for high school dropouts and high school graduates are roughly equal and are less than the overall unemployment rate of college graduates.
5. Which of the following is NOT a plausible result of an increase in the generosity of benefit payments received under workers’ compensation laws?
   1. The proportion of fraudulent to legitimate claims will increase.
   2. Employers will attempt to entice their workers back to work earlier.
   3. Employers will employ more lax workplace safety standards.
   4. Workers will be more likely to ignore safety standards.
   5. Employers will hire fewer workers.

. In a large corporation the mean entry level salary is $27,000 with a standard deviation of σ = 6,000. The entry level salaries for a random sample of 15 employees with only high school degrees is X ̅ = $24,100 . Do people with only high school degrees earn less than the rest of the company? Conduct a one-tailed hypothesis test with  = .05.

2a. The hypothesis test should be... (highlight one) (1 point) a) one-tailed (directional) b) two-tailed (non-directional) 2b. According to your answers above, conduct the hypothesis test. STEP 1: State your hypotheses in both words and symbols. Be sure to clearly label your null and research (alternative) hypotheses. (4 points)

In words:

In symbols:

STEP 2: Find the critical value. (2 points)

STEP 3: Compute the appropriate test-statistic. (4 points)

STEP 4: Evaluate the null hypothesis (based on your answers to the above steps). REJECT or FAIL TO REJECT (highlight one) (1 point) Which is the best conclusion, according to your decision in

STEP 4? (Highlight one) (1 point)

a. People with only high school degrees make the same amount of money as the rest of the population.

b. People with only high school degrees make significantly more money than the rest of the population.

c. People with only high school degrees make significantly less money than the rest of the population.

2c. IF your decision had been to reject the null, what is the probability that you made a Type I error in this problem? (1 point

Question 3

In a study conducted on 335 primary school students in a small district in Malaysia, students at primary levels 4-6 were asked which goal in terms of good grades, athletic ability or popularity (being popular in school) was most important to them. A two-way table (Table 3.1) separating the students by their educational levels and goals is shown below:

Table 3.1

1. To investigate possible differences among the students' goals by educational levels, a researcher suggested that it is useful to compute the column percentages. You are required to compute the column percentages and explain the meaning of these percentages. Do the results suggest that there is much of a variation in goals across the three educational levels?   
2. The dataset from the same study now divides the students' responses into "Urban," "Suburban," and "Rural" school areas as shown in Table 3.2. You are required to conduct a Chi-Squared test to investigate whether there is an association between school area and the students' goals of getting good grades, athletic ability or popularity as most important to them?

Table 3.2

The registered nurse at the local middle school is responsible for health promotion and disease prevention of the seventh and eighth grade students. The nurse provides screenings and illness care as well as assurance that immunizations are up to date with documentation on file. Nurses who work with the school population are aware of their significant influence on the students and the importance of teaching ways to develop and maintain good health habits at a young age. Nurses hope the students will carry the information home and have an influence on the health of the families as well.

1. The mother of a 13-year-old boy approaches the school nurse because she is concerned about her son’s weight. She states that she approached his pediatrician about the issue and felt dismissed. The nurse assesses the height and weight of the boy and determines that he is above the 95th percentile for his age. What are the next steps for the school nurse?

a. Educate about a healthy diet but tell the mother that her son is too young to be concerned about his weight.

b. Place the student on a diet and exercise plan with a goal of losing 2 to 3 lb per week.

c. Educate about a healthy diet and physical activity and instruct the mother that her son should maintain his current weight while he continues to increase his height.

d. Inform the mother that she should have been more concerned before her son reached puberty.

2. The school nurse provides education to the students about injury prevention measures. What educational topic is shared with the middle school age?

a. Bicycle safety

b. Poisoning prevention

c. Violence

d. Motor vehicle safety

3. A student presents to the nurses’ office with a severe allergic reaction to a bee sting. What is the primary role of the nurse in delivering emergent care to the child?

a. Call the parents to obtain phone consent for treatment.

b. Provide emergency care and then inform the parents.

c. Call the child’s primary care physician to obtain orders.

d. Send the student to the nearest emergency department.

4. A parent who fails to ensure that their child attends school is exhibiting

a. acts of commission.

b. psychological abuse.

c. acts of demission.

d. acts of omission.

Use the Chi-Square option in the Nonparametric Tests menu to answer the questions based on the following scenario. (Assume a level of significance of .05 and use information from the scenario to determine the expected frequencies for each category).

Scenario: During the analysis of the district data, it was determined that one high school had substantially higher Graduate Exit Exam scores than the state average and the averages of high schools in the surrounding districts. To better understand possible reasons for this difference, the superintendent conducted several analyses. One analysis examined the population of students who completed the exam. Specifically, the superintendent wanted to know if the distribution of special education, regular education, and gifted/talented test takers from the local high school differed from the statewide distribution. The obtained data are provided below. Description Special Education* Regular Education Gifted/Talented Number of students from the local high school who took the

*For purposes of testing, special education includes any student who received accommodations during the exam.

1. If the student distribution for the local high school did not differ from the state, what would be the expected percentage of students in each category?

2. What were the actual percentages of local high school students in each category? (Report final answer to two decimal places)

3. State an appropriate null hypothesis for this analysis.

4. What is the value of the chi-square statistic?

5. What are the reported degrees of freedom?

6. What is the reported level of significance?

7. Based on the results of the one-sample chi-square test, was the population of test taking students at the local high school statistically significantly different from the statewide population?

8. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of the analysis.

Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable.