Question

Data for three selected U.S. regions are presented in the table, along with the percent of the population NOT covered by health insurance during 2000 for each state in that region. Does a relationship exist between these three U.S. regions and health insurance non-coverage?

Table 14.1 Population Uninsured for Three Regions: 2000

West - Pacific	South – East South Central	Northeast – New England
Washington 13.3	Kentucky 12.9	Maine 11.5
Oregon 13.7	Tennessee 10.3	New Hampshire 6.8
California 18.1	Alabama 13.5	Vermont 10.7
Alaska 19.3	Mississippi 13.1	Massachusetts 9.5
Hawaii 10.1		Rhode Island 5.9
		Connecticut   7.9

Source: U.S. Census Bureau, CPS P60-215, Table HI06 – Health Insurance Coverage Status by State for All People: 2000, September 2001.

1.       What is the dependent and independent variable?

2.       Calculate the mean for each region. Which region has the highest       percent of non-coverage? Which region has the lowest?

3.       Calculate SS_B and degrees of freedom between (df_b).

          a) SS_B = 106.77, df_b = 2

          b) SS_B = 100.31, df_b = 12

          c) SS_B = 66.77, df_b = 2

          d) SS_B = 100.31, df_b = 2

4.       Calculate SS_W and degrees of freedom within (df_w).

          a) SS_W = 87.56, df_w = 10

          b) SS_W = 87.56, df_w = 11

          c) SS_W = 87.56, df_w = 12

          d) SS_W = 97.51, df_w = 12

5.       Based on an alpha level of .05, what is the F (critical)?

          a) 2.76

          b) 3.18

          c) 3.89

          d) 7.88

6.       What is your F (obtained)? Determine its level of significance. Based on an alpha level of .05, what can you conclude about the relationship         between region and health insurance non-coverage?

Data for three selected U.S. regions are presented in the table, along with the percent of the population NOT covered by health insurance during 2000 for each state in that region. Does a relationship exist between these three U.S. regions and health insurance non-coverage?

Table 14.1 Population Uninsured for Three Regions: 2000

West - Pacific	South – East South Central	Northeast – New England
Washington 13.3	Kentucky 12.9	Maine 11.5
Oregon 13.7	Tennessee 10.3	New Hampshire 6.8
California 18.1	Alabama 13.5	Vermont 10.7
Alaska 19.3	Mississippi 13.1	Massachusetts 9.5
Hawaii 10.1		Rhode Island 5.9
		Connecticut   7.9

Source: U.S. Census Bureau, CPS P60-215, Table HI06 – Health Insurance Coverage Status by State for All People: 2000, September 2001.

1.       What is the dependent and independent variable?

2.       Calculate the mean for each region. Which region has the highest       percent of non-coverage? Which region has the lowest?

3.       Calculate SS_B and degrees of freedom between (df_b).

          a) SS_B = 106.77, df_b = 2

          b) SS_B = 100.31, df_b = 12

          c) SS_B = 66.77, df_b = 2

          d) SS_B = 100.31, df_b = 2

4.       Calculate SS_W and degrees of freedom within (df_w).

          a) SS_W = 87.56, df_w = 10

          b) SS_W = 87.56, df_w = 11

          c) SS_W = 87.56, df_w = 12

          d) SS_W = 97.51, df_w = 12

5.       Based on an alpha level of .05, what is the F (critical)?

          a) 2.76

          b) 3.18

          c) 3.89

          d) 7.88

6.       What is your F (obtained)? Determine its level of significance. Based on an alpha level of .05, what can you conclude about the relationship between region and health insurance non-coverage?

Answer 1

1) dependnet variable =three US regions

Independnent variable =   health insurance non-coverage

-------------------

treatment	A	B	C
count, ni =	5	4	6
mean , x̅ i =	14.900	12.45	8.717

===============

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	106.77	2	53.39	7.317	0.008	3.89
Within Groups	87.56	12	7.30
Total	194.33	14

a) SSB = 106.77, dfb = 2

c) SSW = 87.56, dfw = 12

F critical= c) 3.89

F obtained = 7.317

reject Ho

you conclude about the relationship that there ia significant difference between region and health insurance non-coverage