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The accompanying unions and labor law data reports the percent of public and private-sector
employees in unions in a certain year for each state, along with indicators of whether the states
had a bargaining law that covered public employees or right-to-work laws. For all the tests, let
population 1 be states with no bargaining laws and population 2 be states with bargaining laws.
a. Test the hypotheses that the mean percent of employees in unions for both the public sector
and private sector is the same for states having bargaining laws as for those who do not.
b. Test the hypotheses that the mean percent of employees in unions for both the public sector
and private sector is the same for states having right-to-work laws as for those who do not.
LOADING...
Click the icon to view the unions and labor law data.
Question content area bottom
Part 1
a. Is there sufficient evidence at the
0.05
level of significance to conclude that the mean percent of employees in unions for the public
sector is the same for states having bargaining laws as for those who do not?Determine the null
hypothesis,
H0,
and the alternative hypothesis,
H1.
H0:
sigma 1 minus sigma 212
pi 1 minus pi 212
mu 1 minus mu 212
greater than>
greater than or equals
less than or equals
equals=
less than<
not equals
enter your response here
H1:
mu 1 minus mu 212
pi 1 minus pi 212
sigma 1 minus sigma 212
less than or equals
not equals
less than<
greater than>
equals=
greater than or equals
enter your response here
(Type integers or decimals. Do not round.)
1 = yes
0 = no
1 = yes
0 = no
State
% public sector employees in unions
% private sector employees in unions
Bargaining laws
Right-to-Work Laws
NY
56.4
29.34
1
0
MI
51.15
28.89
1
0
WA
32.33
33.14
1
0
HI
53.98
24.24
1
0
AK
31.32
29.13
1
0
WV
29.4
28.46
0
0
IL
30.63
25.79
0
0
OR
36.33
24.33
1
0
OH
39.32
23.6
1
0
PA
46.14
23.25
1
0
MO
26.53
27.51
0
0
CA
33.77
25.17
1
0
IN
27.51
24.75
0
0
MN
42.44
22.46
1
0
WI
46.14
20.02
1
0
NV
36.03
20.57
0
1
MT
23.5
22.25
1
0
IA
36.24
18.39
1
1
KY
34.49
17.13
0
0
DE
51.72
14.18
1
0
NJ
30.81
17.28
1
0
MA
53.48
15.32
1
0
RI
59.39
12.7
1
0
CT
52.38
15.62
1
0
MD
31.13
13.33
0
0
ME
47.97
10.74
1
0
AL
32.11
15.6
0
1
CO
32.03
15.54
0
0
TN
34.3
12.06
0
1
UT
44
9.36
0
1
NB
22.8
10.86
1
1
ID
27.7
12.22
0
0
WY
31.68
11.43
0
1
ND
30.7
7.64
1
1
LA
20.55
11.29
0
1
AR
19.61
10.61
0
1
OK
25.85
9.3
0
0
NM
19.17
12.8
0
0
AZ
23.4
8.61
0
1
GA
20.5
12.89
0
1
TX
26.06
8.6
0
1
NH
42.41
8.63
1
0
KS
23.56
7.96
1
1
VT
36.52
6.9
1
0
VA
19.08
9.22
0
1
SD
22.29
6.15
1
1
FL
21.26
6.77
1
1
MS
13.91
8.18
0
1
NC
28.74
3.19
0
1
SC
12.46
3.65
1
1
State
% public sector employees in unions
% private sector employees in unions
Bargaining laws
Right-to-Work Laws
1 = yes
0 = no
1 = yes
0 = no
State
% public sector
employees in unions
% private sector
employees in unions
Bargaining
laws
Right-to-Work
Laws
NY 56.4 29.34 1 0
MI 51.15 28.89 1 0
WA 32.33 33.14 1 0
HI 53.98 24.24 1 0
AK 31.32 29.13 1 0
WV 29.4 28.46 0 0
IL 30.63 25.79 0 0
OR 36.33 24.33 1 0
OH 39.32 23.6 1 0
PA 46.14 23.25 1 0
MO 26.53 27.51 0 0
CA 33.77 25.17 1 0
IN 27.51 24.75 0 0
MN 42.44 22.46 1 0
WI 46.14 20.02 1 0
NV 36.03 20.57 0 1
MT 23.5 22.25 1 0
IA 36.24 18.39 1 1
KY 34.49 17.13 0 0
DE 51.72 14.18 1 0
NJ 30.81 17.28 1 0
MA 53.48 15.32 1 0
RI 59.39 12.7 1 0
CT 52.38 15.62 1 0
MD 31.13 13.33 0 0
ME 47.97 10.74 1 0
AL 32.11 15.6 0 1
CO 32.03 15.54 0 0
TN 34.3 12.06 0 1
UT 44 9.36 0 1
NB 22.8 10.86 1 1
ID 27.7 12.22 0 0
WY 31.68 11.43 0 1
ND 30.7 7.64 1 1
LA 20.55 11.29 0 1
AR 19.61 10.61 0 1
OK 25.85 9.3 0 0
NM 19.17 12.8 0 0
AZ 23.4 8.61 0 1
GA 20.5 12.89 0 1
TX 26.06 8.6 0 1
NH 42.41 8.63 1 0
KS 23.56 7.96 1 1
VT 36.52 6.9 1 0
VA 19.08 9.22 0 1
SD 22.29 6.15 1 1
FL 21.26 6.77 1 1
MS 13.91 8.18 0 1
NC 28.74 3.19 0 1
SC 12.46 3.65 1 1
State
% public sector
employees in unions
% private sector
employees in unions
Bargaining
laws
Right-to-Work
Laws

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The accompanying unions and labor law data reports the percent of publ.pdf