Answer :
Answer: [tex]\dfrac{r}{n}[/tex]
Explanation:
If r is the number of successes out of n trials , then the sample proportion of success = [tex]\hat{p}=\dfrac{r}{n}[/tex]
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 :
[tex]p=\hat{p}=\dfrac{r}{n}[/tex]
Hence, a point estimate for the probability of success p on a single trial = [tex]\dfrac{r}{n}[/tex]
The vale to be used as point estimate for the probability of success p on a single trial is [tex]r/n[/tex].
What does the binomial experiment hold?
For a 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.
Instance, If r is the number of successes out of n trials , then the sample proportion of success = P = r/n
Therefore, the point estimate for the probability of success p on a single trial is [tex]r/n[/tex]
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