Question

For a binomial experiment with r successes out of n trials, what value do we use as a point estimate for the probability of success p on a single trial?
p
=

Answer 1

Answer: $\dfrac{r}{n}$

Explanation:

If r is the number of successes out of n trials , then the sample proportion of success = $\hat{p}=\dfrac{r}{n}$

For binomial experiment , if the population probability of success p on a single trial is not given , then the best point estimate for probability of success p on a single trial is the sample proportion of successes.

i.e. a point estimate for the probability of success p on a single trial :

$p=\hat{p}=\dfrac{r}{n}$

Hence, a point estimate for the probability of success p on a single trial = $\dfrac{r}{n}$