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The following data represent the level of health and the level of education for a random sample of 1363 residents. Complete parts (a) and (b) below. (a) Does the sample evidence suggest that level of education and health are independent at the o: = 0.05 level of signicance? Conduct a P-value hypothesis test. State the hypotheses. Choose the correct answer below. Education Excellent Good Fair Poor Not a H.S. graduate 62 118 72 96 H.S. graduate 53 110 68 103 Some college 57 132 51 103 Bachelor Degree or higher 61 114 68 95 O A. Ho:p.1=E1 and p2 =E2 and p3 =E3 and m =E4 H1 : At least one mean is different from what is expected. 0 B. Ho: Level of education and health are independent. H1: Level of education and health are dependent. O 5- Ho:p1=p2=p3 H1:At least one of the proportions are not equal. Calculate the test statistic. XS=D (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Make the proper conclusion. Choose the correct answer below. O A. Fail to reject Ho. There is not sufficient evidence that level of education and health are associated. O B. Fail to reject Ho. There is sufficient evidence that level of education and health are associated. O C. Reject Ho. There is sufficient evidence that level of education and health are associated. O D. Reject Ho. There is not sufficient evidence that level of education and health are associated. (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 H.S. graduate Some college Bachelor Degree or higher (Round to three decimal places as needed.)