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.

State	% public sector employees in unions	% private sector employees in unions	Bargaining laws	Right-to-Work Laws
NY	56.91	31.2	1	0
MI	49.61	30.2	1	0
WA	32.41	33.1	1	0
HI	54.61	24.7	1	0
AK	30.71	30.1	1	0
WV	30.2	28.5	0	0
IL	30.6	26.9	0	0
OR	35.11	25.5	1	0
OH	38.41	25.3	1	0
PA	46.21	23.6	1	0
MO	26.1	26.7	0	0
CA	32.91	23.8	1	0
IN	28.6	24.4	0	0
MN	43.51	20.7	1	0
WI	44.81	20.3	1	0
NV	38	19.4	0	1
MT	25.01	20.7	1	0
IA	35.01	16.9	1	1
KY	32.8	17.5	0	0
DE	50.61	14.2	1	0
NJ	31.61	17.5	1	0
MA	52.51	14.4	1	0
RI	61.11	12.1	1	0
CT	51.61	14.1	1	0
MD	32.4	14.3	0	0
ME	47.71	11.2	1	0
AL	32.4	14.2	0	1
CO	32.1	14.8	0	0
TN	33	14	0	1
UT	42.3	9.4	0	1
NB	20.8	12.4	1	1
ID	26.1	13.3	0	0
WY	31.4	11.5	0	1
ND	29	9.5	1	1
LA	22.5	11.8	0	1
AR	21.6	11.2	0	1
OK	25.7	9.9	0	0
NM	17.4	11.2	0	0
AZ	24	10.1	0	1
GA	19.6	11	0	1
TX	27.3	9.6	0	1
NH	41.4	7.5	1	0
KS	22.9	9.2	1	1
VT	37.3	6.5	1	0
VA	20.1	8.1	0	1
SD	23.1	6.2	1	1
FL	21.4	7.2	1	1
MS	13.4	8.1	0	1
NC	28.6	4.6	0	1
SC	13.7	3.9	1	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 donot?

Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0:

H1:

Compute the test statistic.

(Round to two decimal places asneeded.)

Find thep-value for the test.

(Round to three decimal places asneeded.)

Is there sufficient evidence at the 0.05 level of significance to conclude that the mean percent of employees in unions for the private sector is the same for states having bargaining laws as for those who donot?

Determine the nullhypothesis, H0, and the alternativehypothesis,

H1.

H0

Compute the test statistic.

(Round to two decimal places asneeded.)

Find thep-value for the test.

(Round to three decimal places asneeded.)

b. 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 havingright-to-work laws as for those who donot?

Determine the nullhypothesis,

H0,

and the alternativehypothesis,

H1.

H0

Compute the test statistic.

(Round to two decimal places asneeded.)

Find thep-value for the test.

0.000

(Round to three decimal places asne

Is there sufficient evidence at the 0.05 level of significance to conclude that the mean percent of employees in unions for the private sector is the same for states havingright-to-work laws as for those who donot?

Determine the nullhypothesis, H0, and the alternativehypothesis, H1.

H0:

H1

(Type integers or decimals. Do notround.)

Compute the test statistic.

(Round to two decimal places asneeded.)

Find thep-value for the test.

(Round to three decimal places asneeded.)