The following data represent the level of health and the level of education for a random sample of 1960 residents.	Education	Excellent	Good	Fair	Poor
Not a H.S. graduate	147	187	142	103
H.S. graduate	114	183	91	119
Some college	88	128	81	109
Bachelor Degree or higher	143	126	102	97

Part 1

(a) Does the sample evidence suggest that level of education and health are independent at the

alphaequals=0.05

level of significance?

Conduct a P-value hypothesis test. State the hypotheses. Choose the correct answer below.

A.

Upper H 0H0:

Level of education and health are independent.

Upper H 1H1:

Level of education and health are dependent.

B.

Upper H 0H0:

mu11equals=E11

and

mu22equals=E22

and

mu33equals=E33

and

mu44equals=E44

Upper H 1H1:

At least one mean is different from what is expected.

C.

Upper H 0H0:

p11equals=p22equals=p33

Upper H 1H1:

At least one of the proportions are not equal.

Part 2

Calculate the test statistic.

chi Subscript 0 Superscript 220equals=enter your response here

(Round to three decimal places as needed.)

Part 3

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 4

Make the proper conclusion. Choose the correct answer below.

A.

Fail to rejectFailtoreject

Upper H 0H0.

There

isis

sufficient evidence that level of education and health are associated.

B.

RejectReject

Upper H 0H0.

There

isis

sufficient evidence that level of education and health are associated.

C.

Fail to rejectFailtoreject

Upper H 0H0.

There

is notisnot

sufficient evidence that level of education and health are associated.

D.

RejectReject

Upper H 0H0.

There

is notisnot

sufficient evidence that level of education and health are associated.

Part 5

(b) Construct a conditional distribution of health by level of education and draw a bar graph.

Education	Excellent	Good	Fair	Poor
Not a H.S. graduate	enter your response here	enter your response here	enter your response here	enter your response here
H.S. graduate	enter your response here	enter your response here	enter your response here	enter your response here
Some college	enter your response here	enter your response here	enter your response here	enter your response here
Bachelor Degree or higher	enter your response here	enter your response here	enter your response here	enter your response here

(Round to three decimal places as needed.)

Part 6

Choose the correct bar graph below.

A.

A side-by-side bar graph has a vertical axis labeled from 0 to 0.5 in increments of 0.1 and a horizontal axis labeled with four education levels. The bar graph contains four vertical bars above each horizontal axis label; the four bars in each set are labeled as follows from left to right: E, G, F, P. From left to right, the vertical bars in each set have approximate heights as follows, where for each set of four bars the horizontal axis label is listed first and individual bar heights are listed from left to right: "Not H S Grad," 0.18, 0.25, 0.32, 0.25; "H S Grad," 0.24, 0.18, 0.23, 0.36; "Some College," 0.32, 0.2, 0.27, 0.22; "Bachelor," 0.31, 0.21, 0.22, 0.27. 00.5EEEEGGGGFFFFPPPPNotHSGradHSGradSomeCollegeBachelor

B.

A side-by-side bar graph has a vertical axis labeled from 0 to 0.5 in increments of 0.1 and a horizontal axis labeled with four education levels. The bar graph contains four vertical bars above each horizontal axis label; the four bars in each set are labeled as follows from left to right: E, G, F, P. From left to right, the vertical bars in each set have approximate heights as follows, where for each set of four bars the horizontal axis label is listed first and individual bar heights are listed from left to right: "Not H S Grad," 0.25, 0.32, 0.25, 0.18; "H S Grad," 0.23, 0.36, 0.18, 0.24; "Some College," 0.22, 0.32, 0.2, 0.27; "Bachelor," 0.31, 0.27, 0.22, 0.21. 00.5EEEEGGGGFFFFPPPPNotHSGradHSGradSomeCollegeBachelor