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Disease X Is One That Often Results in Severe Illness

question 39

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Disease X is one that often results in severe illness but is never fatal. On March 21, 2002, 30 students enrolled in an introductory epidemiology course at a university developed disease X. (Assume all epidemiology students were exposed to the index case, the instructor). Through antibody titers, you were able to determine the following (antibody titers measure the concentration of antibodies in individuals and can be used to provide evidence of infection):
Number of exposed students not infected: 40
Number of exposed students with subclinical infection: 10
Number of exposed students with mild symptoms: 10
Number of exposed students with moderate symptoms: 10
Number of exposed students with severe symptoms: 10
Using your knowledge of infectious disease epidemiology, quantify the pattern of disease X in this group (i.e., what are the infectivity and virulence of disease X?). Assume all students were susceptible.

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Definitions:

Type I Error

The improper negation of a genuine null hypothesis, widely recognized as a "false positive."

Standard Deviation

A measure of the dispersion or spread of a set of data points relative to its mean, indicating how spread out the data points are.

Test Statistic

A value calculated from sample data during hypothesis testing, used to determine whether to reject the null hypothesis.

Critical Value

A threshold in a statistical test that defines the boundary for deciding whether a test statistic leads to the rejection of the null hypothesis.

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