01
Dec
Sample Proportion Formula Statistics. On a Mac. In tests of population proportions p stands for population proportion and p for sample proportion see table above. PB A the probability that event B will happen given that event A definitely happens. Calculate the test statistic.
X the number of successes. You can find probabilities for a sample proportion by using the normal approximation as long as certain conditions are met. PA the probability of event A. Where p1 and p2 are the sample proportions n1 and n2 are the sample sizes and where p is the total pooled proportion calculated as. Note that these values are taken from the standard normal Z-. He tests H 0.
PA the probability of event A.
PA C or Pnot A the probability that A does not happen. The test statistic is a standardized value calculated from the sample. Hence the frames the null and alternate hypotheses. Where p 0 is the null hypothesized proportion ie when H 0. The mean of the sample means will equal the population mean and the mean of the sample sums will equal n times the population mean. SE p sqrt p 1 - p n where p is Proportion of successes in the samplen is Number of observations in the sample.