Discuss the below:
Using ratio or interval numerical data from the data set attached, develop the following:
1. Develop a research question
2. Formulate a research hypothesis and null hypothesis
3. Decide the type of test and level of significance
4. Calculate the standard error
5. Find the critical region
6. Perform the hypothesis test
7. Format graphs and tables to support the hypothesis
8. Compare the findings with the hypothesis
Data Set Legend:
X1: Annual wage in dollars
X2: Industry (1=manufacturing, 2=construction, 0=other)
X3: Occupation (1=management, 2=sales, 3=clerical, 4=service, 5=professional, 0=other)
X4: Years of education
X5: Southern resident (0=no, 1=yes)
X6: Nonwhite (0=no, 1=yes)
X7: Hispanic (0=no, 1=yes)
X8: Female (0=no, 1=yes)
X9: Years of work experience
X10: Married (0=no, 1=yes)
X11: Age in years
X12: Union member (0=no, 1=yes)
100 observations
Wages and Wage Earners Data Set
| Wage |
Industry |
Occupation |
Ed |
South |
Nonwh |
Hisp |
Fe |
Ex |
Marr |
Age |
Union |
| 19388 |
1 |
0 |
6 |
1 |
0 |
0 |
0 |
45 |
1 |
57 |
0 |
| 49898 |
2 |
0 |
12 |
0 |
0 |
0 |
0 |
33 |
1 |
51 |
1 |
| 28219 |
0 |
3 |
12 |
1 |
0 |
0 |
0 |
12 |
1 |
30 |
0 |
| 83601 |
0 |
5 |
17 |
0 |
0 |
1 |
0 |
18 |
1 |
41 |
0 |
| 29736 |
0 |
4 |
8 |
0 |
0 |
1 |
0 |
47 |
1 |
61 |
1 |
| 50235 |
1 |
0 |
16 |
0 |
0 |
0 |
0 |
12 |
1 |
34 |
0 |
| 45976 |
0 |
2 |
12 |
0 |
0 |
0 |
0 |
43 |
1 |
61 |
1 |
| 33411 |
1 |
2 |
12 |
1 |
0 |
0 |
0 |
20 |
1 |
38 |
0 |
| 21716 |
0 |
5 |
12 |
0 |
0 |
0 |
1 |
11 |
0 |
29 |
0 |
| 37664 |
0 |
5 |
18 |
0 |
0 |
0 |
0 |
19 |
1 |
43 |
0 |
| 26820 |
0 |
5 |
18 |
0 |
0 |
0 |
0 |
33 |
0 |
57 |
1 |
| 29977 |
0 |
4 |
16 |
0 |
1 |
0 |
1 |
6 |
1 |
28 |
0 |
| 33959 |
0 |
5 |
17 |
0 |
0 |
0 |
1 |
26 |
1 |
49 |
1 |
| 11780 |
0 |
2 |
11 |
0 |
0 |
0 |
1 |
33 |
1 |
50 |
0 |
| 10997 |
0 |
4 |
14 |
0 |
1 |
0 |
0 |
0 |
0 |
20 |
0 |
| 17626 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
45 |
1 |
63 |
0 |
| 22133 |
0 |
5 |
16 |
0 |
0 |
0 |
1 |
10 |
0 |
32 |
1 |
| 21994 |
0 |
1 |
12 |
0 |
0 |
0 |
1 |
24 |
1 |
42 |
0 |
| 29390 |
0 |
0 |
13 |
0 |
0 |
0 |
0 |
18 |
1 |
37 |
0 |
| 32138 |
0 |
4 |
14 |
0 |
0 |
0 |
0 |
22 |
1 |
42 |
1 |
| 30006 |
1 |
3 |
16 |
0 |
0 |
0 |
1 |
27 |
1 |
49 |
0 |
| 68573 |
0 |
5 |
16 |
1 |
0 |
0 |
0 |
14 |
1 |
36 |
1 |
| 17694 |
0 |
4 |
8 |
0 |
0 |
0 |
1 |
38 |
1 |
52 |
0 |
| 26795 |
0 |
0 |
7 |
1 |
0 |
0 |
0 |
44 |
1 |
57 |
0 |
| 19981 |
0 |
4 |
4 |
0 |
0 |
0 |
0 |
54 |
1 |
64 |
0 |
| 14476 |
0 |
5 |
12 |
0 |
0 |
0 |
1 |
3 |
1 |
21 |
0 |
| 19452 |
0 |
4 |
13 |
0 |
1 |
0 |
0 |
3 |
0 |
22 |
0 |
| 28168 |
1 |
0 |
13 |
0 |
0 |
0 |
0 |
17 |
0 |
36 |
0 |
| 19306 |
0 |
5 |
9 |
1 |
1 |
0 |
1 |
34 |
1 |
49 |
1 |
| 13318 |
1 |
0 |
11 |
1 |
0 |
0 |
1 |
25 |
1 |
42 |
1 |
| 25166 |
0 |
4 |
12 |
0 |
0 |
0 |
1 |
10 |
0 |
28 |
0 |
| 18121 |
1 |
3 |
12 |
0 |
0 |
0 |
1 |
18 |
1 |
36 |
0 |
| 13162 |
1 |
0 |
12 |
0 |
1 |
0 |
0 |
6 |
0 |
24 |
1 |
| 32094 |
0 |
3 |
12 |
1 |
0 |
0 |
1 |
14 |
1 |
32 |
0 |
| 16667 |
0 |
3 |
12 |
1 |
0 |
0 |
0 |
4 |
0 |
22 |
0 |
| 50171 |
0 |
5 |
12 |
0 |
0 |
0 |
0 |
39 |
1 |
57 |
1 |
| 31691 |
1 |
0 |
12 |
0 |
0 |
0 |
0 |
13 |
0 |
31 |
0 |
| 36178 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
40 |
1 |
58 |
0 |
| 15234 |
0 |
1 |
12 |
1 |
0 |
1 |
1 |
4 |
0 |
22 |
0 |
| 16817 |
0 |
3 |
12 |
1 |
0 |
0 |
1 |
26 |
0 |
44 |
0 |
| 22485 |
0 |
3 |
12 |
0 |
0 |
0 |
0 |
22 |
0 |
40 |
0 |
| 30308 |
0 |
4 |
12 |
0 |
0 |
0 |
0 |
10 |
1 |
28 |
0 |
| 11702 |
0 |
2 |
14 |
1 |
0 |
0 |
1 |
6 |
1 |
26 |
0 |
| 11186 |
0 |
0 |
12 |
0 |
0 |
0 |
0 |
0 |
0 |
18 |
0 |
| 12285 |
0 |
1 |
12 |
0 |
0 |
0 |
1 |
42 |
1 |
60 |
0 |
| 19284 |
1 |
4 |
16 |
0 |
0 |
0 |
0 |
3 |
0 |
25 |
0 |
| 11451 |
1 |
0 |
12 |
0 |
0 |
0 |
1 |
8 |
1 |
26 |
0 |
| 57623 |
0 |
1 |
15 |
0 |
0 |
0 |
0 |
31 |
1 |
52 |
0 |
| 25670 |
0 |
3 |
13 |
0 |
0 |
0 |
1 |
8 |
0 |
27 |
1 |
| 83443 |
0 |
5 |
17 |
0 |
0 |
0 |
1 |
5 |
0 |
28 |
0 |
| 49974 |
1 |
1 |
16 |
0 |
1 |
0 |
0 |
26 |
1 |
48 |
1 |
| 46646 |
2 |
0 |
5 |
1 |
0 |
0 |
0 |
44 |
1 |
55 |
0 |
| 31702 |
0 |
3 |
12 |
1 |
0 |
0 |
1 |
39 |
1 |
57 |
0 |
| 13312 |
0 |
4 |
12 |
1 |
0 |
0 |
1 |
9 |
1 |
27 |
0 |
| 44543 |
0 |
2 |
18 |
0 |
0 |
0 |
0 |
10 |
1 |
34 |
0 |
| 15013 |
0 |
4 |
16 |
0 |
0 |
0 |
0 |
21 |
1 |
43 |
0 |
| 33389 |
0 |
1 |
14 |
0 |
1 |
0 |
0 |
22 |
0 |
42 |
0 |
| 60626 |
0 |
5 |
18 |
0 |
0 |
0 |
0 |
7 |
1 |
31 |
0 |
| 24509 |
0 |
5 |
14 |
0 |
0 |
1 |
1 |
15 |
0 |
35 |
0 |
| 20852 |
1 |
0 |
12 |
0 |
0 |
0 |
1 |
38 |
1 |
56 |
0 |
| 30133 |
2 |
0 |
10 |
0 |
0 |
0 |
0 |
27 |
1 |
43 |
0 |
| 31799 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
25 |
0 |
43 |
0 |
| 16796 |
0 |
4 |
12 |
0 |
0 |
0 |
1 |
14 |
1 |
32 |
0 |
| 20793 |
0 |
0 |
12 |
1 |
0 |
0 |
1 |
6 |
0 |
24 |
0 |
| 29407 |
0 |
4 |
10 |
1 |
0 |
0 |
0 |
19 |
0 |
35 |
0 |
| 29191 |
0 |
0 |
12 |
0 |
0 |
0 |
0 |
9 |
0 |
27 |
0 |
| 15957 |
0 |
2 |
12 |
1 |
0 |
0 |
1 |
10 |
0 |
28 |
0 |
| 34484 |
0 |
3 |
13 |
1 |
0 |
0 |
1 |
28 |
0 |
47 |
0 |
| 35185 |
1 |
3 |
14 |
0 |
0 |
0 |
1 |
12 |
1 |
32 |
0 |
| 26614 |
1 |
0 |
12 |
0 |
0 |
0 |
1 |
19 |
1 |
37 |
0 |
| 41780 |
0 |
0 |
12 |
1 |
0 |
0 |
0 |
9 |
1 |
27 |
0 |
| 55777 |
0 |
1 |
14 |
1 |
0 |
0 |
0 |
21 |
1 |
41 |
0 |
| 15160 |
0 |
4 |
8 |
1 |
0 |
0 |
1 |
45 |
0 |
59 |
0 |
| 66738 |
0 |
0 |
9 |
1 |
0 |
0 |
0 |
29 |
1 |
44 |
0 |
| 33351 |
0 |
5 |
16 |
1 |
0 |
0 |
1 |
4 |
1 |
26 |
0 |
| 33498 |
0 |
1 |
10 |
0 |
0 |
0 |
0 |
20 |
1 |
36 |
0 |
| 29809 |
0 |
4 |
8 |
0 |
1 |
0 |
1 |
29 |
0 |
43 |
0 |
| 15193 |
1 |
0 |
12 |
0 |
0 |
0 |
1 |
15 |
0 |
33 |
0 |
| 23027 |
0 |
4 |
14 |
0 |
1 |
0 |
0 |
34 |
1 |
54 |
1 |
| 75165 |
0 |
1 |
15 |
0 |
0 |
0 |
0 |
12 |
1 |
33 |
0 |
| 18752 |
0 |
4 |
11 |
0 |
0 |
0 |
1 |
45 |
0 |
62 |
1 |
| 83569 |
0 |
1 |
18 |
0 |
0 |
0 |
0 |
29 |
1 |
53 |
0 |
| 32235 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
38 |
1 |
56 |
0 |
| 20852 |
0 |
0 |
12 |
1 |
0 |
0 |
0 |
1 |
0 |
19 |
0 |
| 13787 |
0 |
4 |
11 |
0 |
0 |
0 |
0 |
4 |
1 |
21 |
0 |
| 34746 |
0 |
3 |
14 |
1 |
0 |
0 |
1 |
15 |
1 |
35 |
0 |
| 17690 |
0 |
1 |
12 |
1 |
1 |
0 |
0 |
14 |
1 |
32 |
0 |
| 52762 |
0 |
5 |
18 |
0 |
0 |
0 |
0 |
7 |
1 |
31 |
0 |
| 60152 |
0 |
5 |
16 |
1 |
0 |
0 |
0 |
38 |
1 |
60 |
0 |
| 33461 |
0 |
1 |
16 |
0 |
0 |
1 |
0 |
7 |
1 |
29 |
1 |
| 13481 |
0 |
4 |
12 |
1 |
0 |
1 |
0 |
7 |
0 |
25 |
0 |
| 9879 |
0 |
3 |
12 |
1 |
0 |
0 |
1 |
28 |
1 |
46 |
0 |
| 16789 |
0 |
3 |
13 |
1 |
0 |
0 |
1 |
6 |
1 |
25 |
0 |
| 31304 |
0 |
1 |
16 |
0 |
0 |
0 |
1 |
26 |
1 |
48 |
0 |
| 37771 |
0 |
5 |
15 |
0 |
0 |
0 |
0 |
5 |
0 |
26 |
0 |
| 50187 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
24 |
1 |
42 |
0 |
| 39888 |
0 |
3 |
12 |
1 |
0 |
0 |
0 |
5 |
0 |
23 |
0 |
| 19227 |
0 |
3 |
12 |
0 |
0 |
0 |
1 |
15 |
1 |
33 |
0 |
| 32786 |
1 |
0 |
11 |
1 |
0 |
0 |
0 |
37 |
1 |
54 |
1 |
| 28440 |
0 |
4 |
12 |
0 |
0 |
0 |
1 |
24 |
1 |
42 |
0 |