you will again be making a concept map covering sections 10.1, 10.2, 10.3 and 10.5. Remember to include prepositions and a paragraph explaining your thought process in creating your map. If you do not remember proper guidelines, please go back to the chapter 3 concept map assignment or one of the examples from previous chapters.
Chapter 10 material
Example attached
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part 2
Please follow the formatting guidance listed in the template:
– Introduce the data you are working with
– Introduce the test you will be doing
– Insert the first test images scaled to fit the document
– Discuss your findings and introduce the next test
– Insert second test results scaled to fit the document
– Discuss the findings and any conclusions
Times new roman font and double spacing should be used. Dont put labels like task 1, task 2. Dont just post all your images and put a paragraph at the bottom.
ConceptsMap.docx
Chapter10Statcrunchhelp.docx
casestudytemplate513.docx
MalevFemaleIncome3.xlsx
Chapter10Statcrunch1.docx
Thought Process
I started with the concepts and definitions of probability. I defined the probability as a measure of the likelihood of a random phenomenon/ chance behavior occurring. It also defined the law of large numbers. It then branched into three types of probability which include subjective, classical, and empirical. It then branched into two rules of probability. The rules include 0≤P(E)≤1 and P(E1) + P(E2) + .. P(En) =1. Lastly, it branched into four formulas that are used to compute probabilities. They include addition rule, General addition rule, Multiplication rule, and Complement rule.
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Chapter 10 One Sample Hypothesis Testing
A hypothesis test is used when a researcher wants to test a previous statistic to see if it is different now than it was before. In order for s statics to change the new survey must provide significant evidence that the statistic has changed.
Hypotheses:
1. Null hypothesis, is the original statement or statistic that has been verified. Always in the form of
2. Alternate hypothesis, The statement or claim that is being tested.
Choices:
1. Reject
2. Fail to reject
We make our choice based on the P-value. A P-value is the probability that a random sample would give the results in this second survey. The further the survey results are from the original the smaller the probability, because these significant changes are not just by chance.
Proportions
Information you will be given:
· Percentage/proportion from a prior study
· New survey total polled
· New survey amount that answered a certain way
· Level of significance
· Statement about a new claim
In 1997, 46% of Americans said they did not trust the media “when it comes to reporting the news fully, accurately and fairly”. In a 2007 poll of 1010 adults nationwide, 525 stated they did not trust the media. At the α = 0.05 level of significance, is there evidence to support the claim that the percentage of Americans that do not trust the media to report fully and accurately has increased since 1997?
By Statcrunch: Stat->Proportion Stats->One sample->with summary
Those in favor->
Total surveyed->
Select Hypothesis test->
Enter null and alternate based -> on the previous studies and new claim
Compare P to
· If Reject
· If Fail to Reject
Writing a conclusion
1. If you reject: There is sufficient evidence that the proportion of the population that _____ is __ ”claim”___
2. If you do not reject: There is NOT sufficient evidence that the proportion of the population that _____ is __ ”claim”___
Means
Information you will be given:
· Mean from a previous study
· Number of people surveyed
· New study mean
· New study standard deviation
· Level of significance
· Statement about a new claim
According to the American Time Use Survey, the typical American spends 154.8 minutes per day watching television. Do Internet users spend less time each day watching television? A survey of 50 Internet users results in a mean time watching television per day of 128.7 minutes, with a standard deviation of 46.5 minutes. Conduct the appropriate test to determine if Internet users spend less time watching television at the level of significance.
By Statcrunch: Stat->T-stats->One sample->with summary
Sample Mean->
Sample Standard deviation ->
Sample size->
Select Hypothesis test->
Enter null and alternate based -> on the previous studies and new claim
Compare P to
· If Reject
· If Fail to Reject
T-Statistic similar to Z-score
Writing a conclusion
1. If you reject: There is sufficient evidence that the mean of the population that _____ is __ ”claim”___
2. If you do not reject: There is NOT sufficient evidence that the mean of the population that _____ is __ ”claim”___
Standard Deviation/Variance
Information you will be given:
· Standard Deviation from the population
· Number of items surveyed
· New study standard deviation
· Level of significance
· Statement about a new claim
From previous information we know the standard deviation for the resting heart rates of Elgin Community College students was 12bpm. One professor decided to test this claim and got the following heart rates for his students.
Based on this sample, is there enough evidence to say that the standard deviation of the rest heart rates for students in this class is different from 12bpm?
By Statcrunch: enter the data into a column then click Stat->Variance stats->One sample->with data
Select the column ->
Select Hypothesis test ->
Enter the VARIANCE ->
Variance = standard deviation squared
Test Stat P-Value
Compare P to
· If Reject
· If Fail to Reject
Writing a conclusion
1. If you reject: There is sufficient evidence that the standard deviation of the population that _____ is __ ”claim”___
2. If you do not reject: There is NOT sufficient evidence that the standard deviation of the population that _____ is __ ”claim”___
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Data was collected by the American Consumer Survey as a part of the Census in the year 2013. The data was discussed in this project is the income of White Women, Black Women and All Males…. (continue with your introduction of the topic- DO NOT COPY MINE). The first(later you will use next) part of this study will look at (Fill in with the test you will be doing). The results of that test can be seen here.
Input the image of the results. Please adjust it to be of appropriate size to be seen and for one graph to not take up an entire page. You can make the images smaller to fit nicely in the paper. *If you have multiple images, shrink them to all fit in a single row.
Discuss your findings: We can see from the graph/table etc… Whatever you have to discuss here from the first test you should. The more specific with the values and data the better.
The next part of this study will look at the (fill in the test). You can then explain why you may run this test, or what kind of things it will show…. The results of that test can be seen here:
Input the image of the test
Make sure it is appropriate size
If you make them individual make them small enough to fit in a line for comparison.
Discuss the findings: Again in paragraph form. Complete sentences, proper grammar, professional sounding research paper.
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Sheet1
State
White Women
Black Women
Men
Alabama
35212
28410
43400
Alaska
46000
56000
Arizona
40586
35513
44000
Arkansas
32000
28895
40000
California
51782
43630
50000
Colorado
43000
36527
50000
Connecticut
50747
39355
60000
Delaware
43497
37440
49900
District of Columbia
70424
48703
69000
Florida
38000
30000
40000
Georgia
39400
32000
42500
Hawaii
45659
48000
Idaho
32105
40000
Illinios
41601
36527
50000
Indiana
34694
32000
45000
Iowa
35513
28600
45000
Kansas
36000
31069
45000
Kentucky
33483
28998
42800
Louisiana
36000
25891
48000
Maine
36000
43000
Maryland
51782
46000
57000
Massachusetts
50000
39355
60000
Michigan
38000
34176
48000
Minnesota
41426
32976
50000
Mississippi
33141
25000
40000
Missouri
35000
31069
43000
Montana
32105
42000
Nebraska
35000
27500
45000
Nevada
41426
33762
42300
New Hampshire
41426
52000
New Jersey
51782
42000
60000
New Mexico
42250
42300
New York
48000
40000
50000
North Carolina
37283
30034
42000
North Dakota
34600
46200
Ohio
36527
31454
46900
Oklahoma
33141
30000
40000
Oregon
39355
35513
46000
Pennsylvania
39000
35513
50000
Rhode Island
44000
32164
52000
South Carolina
36000
26600
40000
South Dakota
31069
39000
Tennessee
35000
30439
40000
Texas
42000
34498
45000
Utah
35513
50000
Vermont
39355
45000
Virginia
44015
35212
52000
Washington
43186
36527
53000
West Virginia
30439
27395
45000
Wisconsin
37387
30439
46000
Wyoming
35513
53000
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Statcrunch Chapter 10
This project requires you to look at income data from 51 different areas (50 states and D.C.). This data has a column for each of the following: White Women, Black Women, All Men. This is actual data comprised from the Census 2013 American Consumer Surveys. The goal is to work with real data, run statistics and draw conclusion on the difference or similarities in income based on race. There are 5 parts to this project that you will work on during 5 different weeks of the course. You will be writing conclusions, differences and similarities between the data sets after each part so in the end you have a complete report that will be submitted. In the end your findings should discuss the discrepancies in income based on race. Each week I will grade your submission and provide feedback on parts you should redo before completing the final project at the end of the semester.
Part 4
Task 1: Open the Income data set in Statcrunch.
Task 2: By this point you have probably noticed that Whites seems to be making more money. Perform a one sample hypothesis test to see if the Average White Woman Income is greater than the Average Black Woman Income. Remembering that the average Black woman income is $33620. Use alpha of .05 to discuss the conclusion.
Task 3: You will also probably have noticed that Women income is less than male income. Perform a hypothesis test to see if the White Woman income is less than the average Male income. Remember that the average Male income is $47337. Use an alpha of .05 to discuss the conclusion.
Task 4: Type your findings. Be sure to include the interpretation or conclusion statement and if we should or should not reject the null. Have we finally shown with proof that there is a difference in income made based on your race and or gender? How can you be sure?
***Step by Step directions for Statcrunch are on the following Pages
***Please follow formatting guidance provided in the case study template
Performing a One Sample Hypothesis Test:
Make sure you have opened the Income data set. Click Stats T-Stats One Sample With Data. Select only White to start. Then in the hypothesis test we want to change the alternate to greater than and the mean equals value to 33620. Click compute to run the test.
Make sure you highlight, copy and paste this data into your write up.
You are now going to perform the second hypothesis test. Click Stats T-Stats One Sample With Data. Select White to start. Then in the hypothesis test we want to change the alternate to less than and the mean equals value to 47337. Click compute to run the test. Highlight, copy and paste this data into your write up.
Now type your findings for the week. Be sure to list the hypotheses, P value, alpha value, whether you reject or do not reject the null, and write an interpretation sentence. This should be done for each of the two hypothesis you preformed. Have you finally shown with proof that there is a difference in income made based on your race? How can you be sure? Discuss your conclusions.
Please be sure to review proper formatting in the case study template. You should be explaining the null and alternative hypotheses and why they are the way they are BEFORE posting the results of the test.
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