Incidence Ratios Heart Disease Lung Cancer Ages 55-64 1.9 10 Ages 65–74 1.7 9 y 100 80 60 100(x – 1) P(x) %3D 40 20 0 1 2 3 4 5 6 7 8 9 10 The Disease's Incidence Ratio: The number of times more likely smokers are than nonsmokers to die from the disease Percentage of Deaths from the Disease That Are Smoking Related
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Among all deaths from a particular disease, the percentage that is smoking related (21–39 cigarettes per day) is a function of the disease’s incidence ratio. The incidence ratio describes the number of times more likely smokers are than nonsmokers to die from the disease. The following table shows the incidence ratios for heart disease and lung cancer for two age groups.
For example, the incidence ratio of 9 in the given table means that smokers between the ages of 65 and 74 are 9 times more likely than nonsmokers in the same age group to die from lung cancer. The rational function P(x) = 100(x - 1)/x, models the percentage of smoking-related deaths among all deaths from a disease, P(x), in terms of the disease’s incidence ratio, x. The graph of the rational function is shown. Use this function to solve,
What is the horizontal asymptote of the graph? Describe what this means about the percentage of deaths caused by smoking with increasing incidence ratios.
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