Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Sociology 205 Social Statistics Assignment 4 Due on Thursday November 4th at the

by | Nov 24, 2021 | Sociology | 0 comments

GET HELP WITH YOUR ESSAY

If you need assistance with writing your essay, our professional Essay Writing Service is here to help!

DISCOUNT CODE FIRST25

ORDER THIS OR A SIMILAR PAPER NOW

Sociology 205 Social Statistics
Assignment 4
Due on Thursday November 4th at the beginning of class via Moodle
Bring a copy to turn in to me, but also have a copy (doesn’t have to be a hard copy) to work on with group.
Your answers should be typed in size 12 font.
PROBLEM 1
1.​Table 10.1 gives the projected population growth rates for 1990 to 2000 in sub-Saharan Africa. The distribution has a mean of 2.749, a median of 2.80, and a standard deviation of .595.
Table 10.1​Projected Population Growth Rates in Sub-Saharan Africa: 1990 to 2000
Country
Projected Population Growth Rate
Cum %
Country
Projected Population Growth Rate
Cum %
Gabon
1.4
2.3
Sudan
2.8
53.5
Zimbabwe
1.6
4.7
Cameroon
2.9
62.8
Malawi
1.7
7.0
Ethiopia
2.9
62.8
Central African Republic
2.0
11.6
Kenya
2.9
62.8
Djibouti
2.0
11.6
Swaziland
2.9
62.8
Chad
2.1
14.0
Ghana
3.0
67.4
Burundi
2.2
18.6
Zaire
3.0
67.4
Guinea
2.2
18.6
Angola
3.1
76.7
Congo
2.3
23.3
The Gambia
3.1
76.7
Uganda
2.3
23.3
Senegal
3.1
76.7
Botswana
2.4
30.2
Somalia
3.1
76.7
Guinea-Bissau
2.4
30.2
Mauritania
3.2
83.7
Lesotho
2.4
30.2
Nigeria
3.2
83.7
Tanzania
2.5
34.9
Madagascar
3.2
83.7
Sierra Leone
2.5
34.9
Benin
3.3
88.4
Equatorial Guinea
2.6
44.2
Niger
3.3
88.4
South Africa
2.6
44.2
Côte d’Ivoire
3.4
93.0
Sao Tome and Principe
2.6
44.2
Namibia
3.4
93.0
Zambia
2.6
44.2
Togo
3.6
95.3
Burkina Faso
2.7
48.8
Mozambique
3.7
97.7
Rwanda
2.7
48.8
Liberia
4.5
100.0
Mali
2.8
53.5
Total (N)
(43)
Source: U.S. Bureau of the Census, Statistical Abstract of the United States: 1995 (115th Edition), Washington, DC, 1995, pp. 845 – 847.
1.​a.​If a variable is normally distributed, it is not necessary to have the entire frequency distribution in order to determine the percentage of cases that will fall above or below a certain value or between two values. Assuming that population growth rates in sub-Saharan Africa are normally distributed, use Z scores to find the percentage of countries with population growth rates
​1) ​of 2.50 or less
​2)​above 3.0
​3)​between 2.6 and 3.3
​4)​between 3.1 and 3.6
​5)​between 2.0 and 2.5
1.​b.​It is inappropriate to use Z scores to determine percentiles unless a distribution is approximately normal, but few empirical distributions are perfectly normal. Compare the answers to (a) with what you find using cumulative percentages from the original distribution in Table 10.1. Do the answers you obtain from the cumulative percentage distribution come close to what you obtained using Z scores? Is it reasonable to treat the projected population growth rates in sub-Saharan Africa as approximately normally distributed? Why or why not?
1.​c.​Mali has a projected population growth rate of 2.8 for the period from 1990 to 2000. What is the Z score for Mali? Explain what its value means.
1.​d.​Calculate Mali’s percentile rank using the Z score obtained for (c). Verbally explain what the percentile rank tells you about how Mali’s projected population growth rate compares to that of other countries in sub-Saharan Africa.
1.​e.​Uganda’s projected population growth rate is at the 23rd percentile among countries in sub-Saharan Africa. What is Uganda’s projected population growth rate? Use Z scores to find your answer. Show work.
1.​f.​Eighty percent of countries in sub-Saharan Africa have projected population growth rates above the projected population growth rate of Burundi. Assuming that projected population growth rates are normally distributed, calculate the projected population growth rate for Burundi using Z scores. Show how you arrived at your answer. How does your answer compare with the data given in Table 10.1?
PROBLEM 2
2.​In 1994, the Women’s Bureau of the Department of Labor conducted two surveys of working women. The survey questions were the same in both surveys but the way respondents were selected was different. In the nonprobability “popular sample”, surveys were distributed to working women with the help of employers, government agencies, national and community organizations, unions, the media and other groups. Completed questionnaires were obtained from over 250,000 self-selected working women. The second survey was a telephone survey of a national probability sample of 1,200 working women. This survey is referred to as the “scientific sample” in the report.
​For the popular sample, the publicly distributed questionnaire was translated into Braille, Chinese, Korean, Portuguese, Spanish and Vietnamese and more than 1,600 “partners” were enlisted to help distribute the questionnaire including more than 300 businesses, over 900 national and community-based organizations, 75 international unions and many union locals, 10 Federal agencies and 100 state agencies. Tribal governments helped to contact Native American women and special groups were enlisted to reach women in non-traditional jobs. Through the Massachusetts Institute of Technology, the survey was linked to the Internet and computer network companies as well as newspapers and magazines were enlisted to advertise the effort and encourage participation. Several large city mayors promoted the survey and 58 members of Congress arranged to help distribute the survey to their constituents.
​The scientific sample was the combined work of several companies that included conducting focus groups to identify areas of concern to working women, designing the survey and conducting the telephone interviews in June of 1994. The data from both samples were analyzed by the Women’s Bureau staff at the U.S. Department of Labor using SPSS.
​Table 2 compares the characteristics of respondents in the popular and scientific samples with national statistics on working women. These national statistics serve as the population pararmeters.
2.​a.​Explain the difference between a population parameter and a sample statistic. Cite figures on “hours worked” from Table 2 to give examples.
2.​b.​What does it mean to say that a sample is representative? Use figures on occupation from Table 2 to illustrate or explain your answer.
2.​c.​Sampling error would affect the scientific sample but not the popular sample. Take one of the variables on which there is a difference between the scientific sample and national statistics and explain what is meant by sampling error.
2.​d.​There were 1,200 cases in the scientific sample and over 250,000 in the popular sample. Is it reasonable to have more confidence in the results from the popular sample than in the results from the scientific sample? Explain why or why not.
Table 2​Demographic Characteristics of the Scientific and Popular Samples of Working Women in Comparison to National Statistics
National Statistics
Scientific Sample
Popular Sample
%
%
%
Occupation
​Professional/Managerial
27.0
27.6
47.4
​Technical
3.5
4.2
6.0
​Low-wage white collar
58.2
59.0
42.8
​Low-wage blue collar
9.7
8.9
2.5
Hours Worked
​Part-time (under 35 hours)
25.4
23.0
11.6
​Full-time (35 hours and over)
74.6
77.0
88.4
Education
​Less than high school
9.1
6.3
1.2
​Completed high school
36.6
26.2
13.0
​Some college courses
19.2
31.8
27.7
​College Degree
26.8
24.7
37.6
​Post Graduate Degree
8.4
10.6
20.6
Race/Ethnicity
​White
84.8
84.7
79.5
​Black
11.4
9.8
12.3
​Hispanic
6.7
5.1
6.2
​Asian/Pacific Islander
1.9
.6
3.8
​Native American
.6
.7
.9
Children Under 18 at Home
​No
60.1
56.6
60.7
​Yes
39.9
43.4
39.3
Age
​Under 25
16.5
11.3
5.8
​25 – 34
26.3
24.0
25.9
​35 – 44
26.9
31.9
34.6
​45 – 54
18.6
20.4
24.8
​55 and over
11.4
12.4
8.9
Source: U.S. Department of Labor Women’s Bureau, Working Women Count! A Report to the Nation, Washington, DC, USGPO, 1994, p. 41.
PROBLEM 3
3.​Television viewing is not only a convenient and inexpensive form of entertainment, it is also a major advertising medium. Because billions of dollars are spent annually to introduce and promote products on television, describing the television viewing habits of various segments of the population is a big business in itself, carried out by the major networks, companies of all types, marketing firms, and even by political candidates. Using data from the 1993 GSS, Table 12.3a shows the mean hours of daily television viewing among those with different household incomes.
Table 12.3a ​Daily Hours of Television Viewing by Level of Household Income
Hours of Daily Television Viewing
Household Income
Mean
Standard Deviation
N
​Less than $25,000
3.65
2.79
582
​$25,000 or more
2.37
1.55
845
Source: General Social Survey, 1993.
3.​a.​Use a point estimate to estimate the mean hours of daily television viewing among those with household incomes of $25,000 or more.
3.​b.​Among those with household incomes of $25,000 or more, the 95 percent confidence interval for mean hours of daily television viewing is 2.37 ± .10. What does this result mean?
3.​c.​Using a 95 percent confidence interval, estimate the mean hours of daily television viewing by those with household incomes under $25,000. Show calculations.
3.​d.​What would switching to a 99 percent confidence level do to the size of the confidence interval for the mean hours of daily television viewing in each income group? Explain.
3.​e.​What are the advantages and disadvantages of using an interval estimate instead of a point estimate to estimate the mean hours of daily television viewing in each group?
3.​f.​Table 12.3b shows the mean hours of daily television viewing among blacks and whites. Will the 99 percent confidence interval be narrower for blacks or whites? Why?
Table 12.3b ​Hours of Daily Television Viewing by Race
Hours of Daily Television Viewing
Race/ethnicity
Mean
Standard Deviation
N
​Black
3.72
2.79
163
​White
2.81
2.17
1253
Source: General Social Survey, 1993.
3.​g.​Based on the data in Table 12.3b, can you be 99 percent confident that the mean hours of daily television viewing is greater than three hours among blacks and less than three hours among whites? Show how you arrived at your answer.

GET HELP WITH YOUR ESSAY

If you need assistance with writing your essay, our professional Essay Writing Service is here to help!

DISCOUNT CODE FIRST25

ORDER THIS OR A SIMILAR PAPER NOW

Fast Delivery

We know your paper is URGENT! Whatever your deadline is, we’ll always submit your paper on time. Always!

24-7 Support

Have a request at 2am? Our support team is available to you on a 24/7 basis through email, messaging or live chat.

Unlimited Revision

Do you need any edits done to your paper? All our assignments come with a free unlimited revisions tag!

Total Privacy

We take your privacy very seriously. You can rest assured that your identity will forever remain private.

100% Original

All our papers are written from scratch. Which guarantees that every paper you receive has 0% plagiarism.

Affordable Prices

We plagiarism-free high-quality papers from as low as $12. Additionally, we offer lifetime personal discounts.

How It Works

b

Tell us about your homework assignment.

~

Securely pay for your academic paper

j

Paper gets assigned to an expert tutor

Receive the complete paper via email

“Thanks guys! You have great writer who helped me in my last assignment! I got excellent grade in my last assignment and i will recommend you!”

Benjamin

“Being associated with experts minds for 1 year, i am extremely happy and fully satisfied with your high class assistance and quality writing services! Cheers!”

Jane 

I had casually placed an order on Lesson-edu.info for a short essay and wanted to see if their claim of timely delivery of tasks was true or not. The assignment was not delivered on time, but the quality of the essay was also remarkable.

Alice

Team up With Your Own Writing Expert Now

Stuck with overwhelming assignments? We will take care of all your writing tasks.

%d bloggers like this: