![]() We can then use the following formulas to calculate the 95% confidence interval for the relative risk: In other words, the probability that a player passes the test are actually lowered by using the new program. We would interpret this to mean that the probability that a player passes the test by using the new program are just 0.8718 times the probability that a player passes the test by using the old program. The following table shows the number of players who passed and failed the skills test, based on the program they used: The coach recruits 50 players to use each program. Suppose a basketball coach uses a new training program to see if it increases the number of players who are able to pass a certain skills test, compared to an old training program. Example: Calculating a Confidence Interval for Relative Risk The following example shows how to calculate a relative risk and a corresponding confidence interval in practice. We can then use the following formula to calculate a confidence interval for the relative risk (RR): The relative risk tells us the probability of an event occurring in a treatment group compared to the probability of an event occurring in a control group. We often calculate relative risk when analyzing a 2×2 table, which takes on the following format: ![]()
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