It Is Estimated That 3% of the Athletes Competing in a Large

question 38

Short Answer

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.The test for this drug is 90% accurate.What is the probability that an athlete who tests positive is actually a user?

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Definitions:

First-Order Autocorrelation

The correlation between values in a time series and the values immediately preceding them.

Durbin-Watson Statistic

A measure used to detect the presence of autocorrelation in the residuals from a regression analysis.

Hypotheses Testing

A method in statistics that applies data from a subset to assess assumptions about a broader population's characteristic.

Durbin-Watson Test

A statistical procedure aimed at discovering the presence of autocorrelation at the first lag within the residuals of a regression analysis.