Test whether there is a difference in the percent of the manufacturing labor force that is unionized between states that do have right-to-work laws and those that dont. Use a one-tailed-test with alpha = .01, expecting states with right-to-work to have lower union membership than states without right-to-work laws).(NOTE: in this problem, you can convert the percentage to a proportion and use the difference of proportions test.)
|
Right to work state
|
N
|
Mean
|
Std. Deviation
|
Std. error of mean
|
percent in manufacturing that are union
|
0
|
29
|
17.7931
|
7.19747
|
1.33654
|
1
|
21
|
10.9333
|
6.47444
|
1.41284
|