Thank you!! 4- (5 points) Give a binary relation R such that R is irre.pdf
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Thank you!! 4. (5 points) Give a binary relation R such that R is irreflexive, but R 2 is not. You may chose the set over which R is defined, but be sure to specify it..
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//*****************************************************
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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 1 = yes
0 = no 0 = no
% public sector % private sector Bargaining Right-to-Work
State
employees in unions employees in unions laws 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.
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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 1 = yes
0 = no 0 = no
% public sector % private sector Bargaining Right-to-Work
State
employees in unions employees in unions laws 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.
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