The following data represent the level of health and the level of education for

Question

The following data represent the level of health and the level of education for a random 8ample of 1928 residents. Complete parts (a) and (b) below. a H.S. graduate .S. graduate Some college Excellent 130 103 138 Gocd 137 139 144 146 Poor 125 108 97 126 134 100 Oegree or higher (a) Does the sample evidence suggest that level of education and health are independent atthe Conduct a P-value hypothesis ost State the hypotheses. GChoose the corect answer below .05 level of significance? A. H: Level of education and health are independent. H Level of education and health are dopandent. H:At least one mean is different from what is expected. H At east one of the proportions are not equal Calculate the toet statistic Round to three decimal places as noeded. The P-value is Round to three decimal places as noeded. Make the proper condlusion Choose the correct answer below. A. Fail to reject Hy. There is sufficient evidence that level of education and health are associated. O B. Reject Ho. There is not 8uficient evidence that level of education and health are associated. C. Fal oo reject Mg There is not sufficient endence that level of education and health am associated. D. Reject Ho. There is sufficient evidence that level of education and health are associated. b) Conetruct a conditional Cistribution of health by level of education and draw a bar graph Excclent ta H.S. graduate H.S. graduate collego Degroe or higher Round to three decimal plecos as noeded.

Explanation / Answer

Tabulated Statistics: Worksheet rows, Worksheet columns

Rows: Worksheet rows Columns: Worksheet columns

excellent good fair poor All

1 frequency 130 137 134 125 526
expected value 126.9 154.4 120.3 124.4
(fi-ei)^2/ei 0.0776 1.9645 1.5567 0.0028

2 frequency   106 139 100 108 453
expected value 109.3 133.0 103.6 107.1
(fi-ei)^2/ei    0.0970 0.2719 0.1262 0.0069

3 frequency   138 144 91 97 470
expected value 113.4 138.0 107.5 111.2
(fi-ei)^2/ei    5.3578 0.2629 2.5340 1.8042

4 frequency   91 146 116 126 479
expected value 115.5 140.6 109.6 113.3
(fi-ei)^2/ei 5.2070 0.2059 0.3781 1.4258

All 465 566 441 456 1928

Cell Contents: Count
Expected count
Contribution to Chi-square

Pearson Chi-Square = 21.279, DF = 9, P-Value = 0.011 < alpha = 0.05

Reject Ho

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.