The binomial distribution is the distribution of the total number of successes whereas the distribution of p is:
The sampling distribution of p is the distribution of the mean number of successes. It has a mean equal to the population proportion.
true
the distribution of the mean number of successes
false
the distribution of the total number of failures
false
the distribution of the ratio of successes to failures
false
a distribution with a mean of .5
Out of 300 students in the school, 225 passed an exam. What would be the mean of the sampling distribution of the proportion of students who passed the exam in the school?
.75
0.0
The mean of the sampling distribution of p is equal to the population proportion. It is 225/300 = .75.
Out of 300 students in the school, 225 passed an exam. You take a sample of 10 of these students. What is the standard error of p?
.137
0.008
The standard error of p = sqrt[p(1-p)/N] = sqrt[(.75)(.25)/10] = .137