Driver post-stop perceived race or ethnicity Total White Unknown Native American
ID: 3365544 • Letter: D
Question
Driver post-stop perceived race or ethnicity
Total
White
Unknown
Native American
Hispanic
Black
Asian
Driver arrested
no
18005
261
357
5240
1867
552
26282
yes
1010
12
67
562
168
22
1841
Total
19015
273
424
5802
2035
574
28123
Using the table above, answer the following 5 questions:
Say you have a table with 4 rows and 2 columns. Using = 0.01, what would your 2 critical value be?
a. 3.84
b. 7.81
c. 11.34
d. 12.59
What is the expected frequency for the cell Arrested – Yes and Native American?
a. 5422.19
b. 27.76
c. 379.8
d. 396.2
What is the the expected frequency for the cell Arrested – No and Asian?
a. 1901.78
b. 255.128
c. 37.576
d. 536.424
Calculate the chi-square for the above table. What chi-square did you find?
a. 234.12
b. 218.96
c. 200.22
d. 178.17
Using = 0.01, is your 2 significant? (i.e., would you reject H0?)
a. Reject the H0
b. Fail to reject H0
Driver post-stop perceived race or ethnicity
Total
White
Unknown
Native American
Hispanic
Black
Asian
Driver arrested
no
18005
261
357
5240
1867
552
26282
yes
1010
12
67
562
168
22
1841
Total
19015
273
424
5802
2035
574
28123
Explanation / Answer
1) option C is correct c. 11.34
2)expected frequency for the cell Arrested – Yes and Native American =row total*column total/grand total
=424*1841/28123 =27.76
3)
expected frequency for the cell Arrested – No and Asian =574*26282/28123=536.424
4) for above table:
chi-square =218.96
5)
a. Reject the H0
Observed O White Unknown Native American Hispanic Black Asian Total no 18005 261 357 5240 1867 552 26282 yes 1010 12 67 562 168 22 1841 Total 19015 273 424 5802 2035 574 28123 Expected E=rowtotal*column total/grand total White Unknown Native American Hispanic Black Asian Total no 17770.232 255.129 396.244 5422.187 1901.784 536.425 26282 yes 1244.768 17.871 27.756 379.813 133.216 37.575 1841 Total 19015 273 424 5802 2035 574 28123 chi square =(O-E)^2/E White Unknown Native American Hispanic Black Asian Total no 3.1016 0.1351 3.8867 6.1215 0.6362 0.4522 14.333 yes 44.2782 1.9289 55.4865 87.3906 9.0824 6.4562 204.623 Total 47.380 2.064 59.373 93.512 9.719 6.908 218.956Related Questions
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