Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary school children and finds that 280 have a social media account.

Identify the values needed to calculate a confidence interval at the 99% confidence level. Then find the confidence interval.

Use the table of common z-scores above.

• Round the final answer to three decimal places.

In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of 9 school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be breathed in while traveling on the bus during its usual 18-mile trip on congested freeways from South Central LA to a magnet school in West LA. (As a reference, the average intake of motor emissions of carbon monoxide in the LA area is estimated to be about 0.000046 grams per person.) Here are the amounts for the 9 buses when driven with the windows open

1.15 0.33 0.40 0.33 1.35 0.38 0.25 0.40 0.35

a) Make a stemplot. Are there outliers or strong skewness that would forbid use of the t procedures?

b) A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give two 90% confidence intervals, one with all the data and one with the outliers removed, for the mean pollution intake among all school buses used in the Southern California Air Basin that travel the route investigated in the study.

c) Compare the two interval in part (b). What is the most important effect of removing the outliers?

A city is concerned that cars are not obeying school zones by speeding through them, putting children at greater risk of injury. The speed limit in school zones is 15 miles per hour. Throughout the course of one day, a police officer hides his car on a side street that intersects the middle of the school zone and records the speed of each car that passes through. Assume that the population standard deviation is 3 miles per hour. Use the data in Minitab to determine if cars are speeding through the school zone.

(1 pt) State the null and alternative hypotheses.

(1 pt) Copy and paste any Minitab outputs used to aid in your decision onto your answer sheet.

(2 pts) Calculate the value of the test statistic by hand. Show the calculation to receive full credit.

(2 pts) Calculate the p-value by hand. Show the calculation on your answer sheet for full credit.

(2 pts) Calculate and report the effect size. Show the calculation on your answer sheet for full

credit.

(1 pt) Calculate a 95% confidence interval for the true population mean.

(3 pts) Write a conclusion in the context of the problem. Be sure to use the p-value, the effect size,

and the confidence interval to aid in your conclusion.

The Daily Show. A 2010 Pew Research foundation poll indicates that among 1,099 college graduates, 33% watch The Daily Show. Meanwhile, of the 1,110 people in the poll with a high school degree but no college degree, 22% watch The Daily Show. A 95% confidence interval for pCollegeGrad−pHighSchoolpCollegeGrad−pHighSchool, where pp is the proportion of those who watch The Daily Show, is (0.07, 0.15). Based on this information, determine if the following statements are true or false, and explain your reasoning if you identify the statement as false.

1. At the 5% significance level, the data provide convincing evidence of a difference between the proportions of college graduates and those with a high school degree or less who watch The Daily Show.  ? True False

2. We are 95% confident that 7% less to 15% more college graduates watch The Daily Show than those with a high school degree or less.  ? True False

3. 95% of random samples of 1,099 college graduates and 1,110 people with a high school degree or less will yield differences in sample proportions between 7% and 15%.  ? True False

4. 90% confidence interval for pCollegeGrad−pHighSchoolpCollegeGrad−pHighSchool would be wider.  ? True False

5. A 95% confidence interval for pHighSchool−pCollegeGradpHighSchool−pCollegeGrad is (-0.15,-0.07).  ? True False

Overview of the Study: The data are based on a Comprehensive School Reform (CSR) Initiative that focused on the improvement of reading and writing for students in the primary grade. The school received a grant from the state which was used to strengthen classroom teachers’ instructional skills. The regression outputs present information for students in the school. Description of the variables: Please use the following description/coding to help you in your analyses. Gender: female; 1 male=0 EnrollmentStatus: 0 - Not General Education; 1 General Education Students CSR Participant: 1 -Taught by a teacher who was part of the comprehensive school reform professional development experience; 0- taught by a teacher who was NOT part of the comprehensive school reform professional development experience Reading score: Reading assessment score STATISTICS QUESTIONS Question 1: What is the impact of gender on writing vocabulary? Question 2: What is the relative impact of gender and enrollment status on writing vocabulary? Question 3: How well does the linear combination of variables in Output 3 explain writing vocabulary? Question 4: Based on your answers to Questions 1 2, and 3; what are your recommendations to the school principal?

REGRESSION 1 –Question 1 Variables Entered/Removed

Model Variables Entered Variables Removed Method dimension 0 1 Gender a. Enter a. All requested variables entered. b. Dependent Variable: Writing Vocabulary Model

Summary Model R R Square Adjusted R Square Std. Error of the Estimate dimension0 1 .343a .117 .097 14.145 a. Predictors: (Constant), Gender

ANOVA Model Sum of Squares df Mean Square F Sig. 1 Regression 1170.087 1 1170.087 5.848 .020a Residual 8803.391 44 200.077 Total 9973.478 45 a. Predictors: (Constant), Gender b. Dependent Variable: Writing Vocabulary Coefficientsa

Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 26.565 2.949 9.007 .000 Gender -10.087 4.171 -.343 -2.418 .020 a. Dependent Variable: Writing Vocabulary

Assignment #7: One-sample Chi-Square

Directions: 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)

During the analysis of the district data, it was determined that one high school had substantially higher Graduate Exit Test 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.

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

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.

1. To fund the expansion of health insurance coverage of children, Governor Kulongoski proposed an 84.5 cents per package increase in the state’s cigarette tax. What was the result?

   	a.	The measure was revised to be a 1% health insurance assessment on the state’s 26 largest hospitals and eight largest health insurance companies, which failed to pass because of the opposition of the hospitals and insurers.
   	b.	Democrats held a three-fifths supermajority in the legislature and enacted the tax increase.
   	c.	The measure was referred to the voters and passed with the support of nearly 90 health, business, union, education, and children’s advocacy groups.
   	d.	The tobacco industry spent $11.4 million to defeat the measure on the basis that it was unfair to smokers and poorer people and an attack on freedom of choice.

QUESTION 22

1. The Medicare Part D drug plan has ____.

   	a.	failed to induce better performance by insurance plans because very few seniors leave bad plans or use their market power
   	b.	protected seniors from marketing abuses and other manipulative practices
   	c.	failed to broaden access to drug coverage for seniors
   	d.	successfully introduced market competition through consumer choice

QUESTION 23

1. Which group was, for the first time, directly and actively involved in Massachusetts health care reform efforts, broadening the constituency for reform?

   	a.	Health Care for All
   	b.	ACT! (Affordable Health Care Today)
   	c.	labor unions
   	d.	the Greater Boston Interfaith Organization

QUESTION 24

1. In 2011, the legislature was committed to not raising taxes and also to preserving the roughly $8 billion Rainy Day Fund. How did they accomplish that?

   	a.	by slightly raising the oil and gas production tax
   	b.	by cutting school funding and estimated requirements for health and human services
   	c.	by freezing salaries of state employees and legislators
   	d.	by significantly raising the oil and gas production tax

QUESTION 25

1. In the early 1990s, Massachusetts created a demonstration program, the MassHealth Program, that included a number of coverage expansions under one umbrella program. This was done through ____.

   	a.	the Children's Medical Security Plan
   	b.	the Uncompensated Care Pool
   	c.	a comprehensive Medicaid waiver (a 1115 waiver)
   	d.	the State Children's Health Insurance Program

Bond Redemption Decision

Armstrong Aero Ace, a flight training school, issued $100,000 of 20-year bonds at face value when the market rate was 10%. The bonds have been outstanding for ten years. The company pays annual interest on January 1. The current rate for similar bonds is 4%. On January 1, the controller would like to retire the bonds at 102 and then issue $100,000 of ten-year bonds to pay 4% annual interest.

Required:

Complete the memo to the controller advising him to retire the outstanding bonds and issue new debt. Ignore taxes.

TO: Controller
RE: Retirement of Outstanding Bonds
The outstanding bonds require the company to continue to pay % in a market that requires only a % return. If the company issues new bonds at 4%, the new issuance will yield the company $100,000 and the interest cash payment will be much at % than at the old rate of %. The benefit to the company is that in the future ten years, the company is required to pay only $ each year rather than $ in annual interest. Discounting the savings of $ per year yields a benefit to the company of . This is than the call premium of 2% and the retirement of the original bonds. Therefore, I that the company retire the outstanding bonds and reissue the bonds at the lower rate in order to reduce future cash outflow.

Jill was an intern working in a community development agency located in an urban downtown area that was seeing considerable change. Several developers were buying real estate in the region with hopes of attracting young professionals who wanted to be close to the shore and NYC. Jill's supervisor was new and had strong ties to a new and upcoming gentrification movement.

At the same time, on the west side of the city there was a rapid influx of Central American immigrants. Tensions were growing among the various stakeholders and Jill's supervisor asked her to network within the Latino community to find key leaders who might work on an advisory board to help improve relationships and cooperation. Jill worked in the Latino community in a high school tutoring program, but as a new intern, she didn't have any real connections in the Latino or blue collar communities there.

Jill was very interested in expanding her professional network so this could help her with future jobs in community development.

1. Describe the steps Jill should take to organize the community advisory group. Be specific and think carefully about who she will need, how she will connect with them, and how she will engage them in this project if they feel disenfranchised.
2. How will she use the high visibility that this project offers to promote herself without looking self-serving?