![]() $p$ value is the probability of finding the observed number of successes or a larger number, given that the null hypothesis is true. Finding the two sided $p$ value for non-symmetric distributions is a bit complicated, and you probably don't need to be able to do this by hand. $p$ value is the probability of finding the observed number of successes or a more extreme number, given that the null hypothesis is true.Įxcept for the case where $\pi_0$ (the population proportion of successes according to the null hypothesis/the true probability of a success according to the null hypothesis) is $0.5$, the sampling distribution of the observed number of successes $X$ is not symmetric under the null hypothesis. ![]() Assuming a table for a certain number of trials $n$, with a column per success probability $P$, and a row for each possible number of successes $X$ ![]()
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