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Chapter 12: Q. 12.36 (page 499)
Find the type of table that is used to group bivariate data.
Ans: A contingency table or two-way table is the name of the table used to group bivariate data.
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Studies have shown that a positive association exists between educational level and annual salary; in other words, people with more education tend to make more money.
a. Does this finding mean that more education causes a person to make more money? Explain your answer.
b. Do you think there is a casual relationship between educational level and annual salary? Explain your answer.
HPV Vaccine. In the article "Correlates for Completic 3-dose Regimen of HPV Vaccine in Female Members of a Man Care Organization" (Mayo Clinical Proceedings, Vol. 84, Pp. 870 ), C. Chao et al. examined factors that may influence wh young female patients complete a three-injection sequence of the dasil quadrivalent human papillomavirus vaccine (HPV4). HPV virus that has been linked to the development of cervical cancer. following contingency table summarizes the data obtained for ' pletion of treatment versus practice type.
US. Hospitals. Refer to Exercise 12.50.
| 24 or fewer | 25-74 | 75 or more | Total | |
| General | 260 | 1586 | 3557 | 5403 |
| Psychiatric | 24 | 242 | 471 | 737 |
| Chronic | 1 | 3 | 22 | 26 |
| Tuberculosis | 0 | 2 | 2 | 4 |
| Other | 25 | 177 | 208 | 410 |
| Total | 310 | 2010 | 4260 | 6580 |
a. Determine the conditional distribution of number of beds within each facility type.
b. Does an association exist between facility type and number of beds for U.S. hospitals? Explain your answer.
c. Determine the marginal distribution of number of beds for U.S. hospitals.
d. Construct a segmented bar graph for the conditional distributions and marginal distribution of number of beds. Interpret the graph in light of your answer to part (b),
e. Without doing any further calculations, respond true or false to the following statement and explain your answer. "The conditional distributions of facility type within number-of-beds categories are identical.
f. Determine the marginal distribution of facility type and the conditional distributions of facility type within number-of-beds categories.
g. What percentage of hospitals are general facilities?
h. What percentage of hospitals that have at least 75 beds are general facilities?
i. What percentage of general facilities have at least 75 beds?
In each case, decide whether Assumptions and for using chi-square goodness-of-fit test are satisfied.
Sample size:.
Relative frequencies:.
In each of the given Exercises, we have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x, and y, of a population. For each exercise, perform the following tasks.
a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total.
b. Determine the value of the chi-square statistic.
c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.
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