A company has developed a drug test to detect steroid use by athletes. The test is  accurate 95% of the time when an athlete has taken steroids. It is 97% accurate when an  athlete hasn’t taken steroids. Suppose that the drug test will be used in a population of  athletes in which 10% have taken steroids. Let’s choose an athlete at random and  administer the drug test.  a.) Make a tree diagram showing the sample space of this chance process. b.) What’s the probability that the randomly selected athlete tests positive? c.) Suppose that the chosen athlete tests positive. What’s the probability that he or she  used steroids?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.