if P= 0.3 and n=81, then find S.E.(P)
Answers
Answer:
We compute the standard errors using the formula:
p = 0.8 : SE =
r
p(1 − p)
n
=
r
0.8(0.2)
100
= 0.040
p = 0.5 : SE =
r
p(1 − p)
n
=
r
0.5(0.5)
100
= 0.050
p = 0.3 : SE =
r
p(1 − p)
n
=
r
0.3(0.7)
100
= 0.046
p = 0.1 : SE =
r
p(1 − p)
n
=
r
0.1(0.9)
100
= 0.030
Step-by-step explanation:
We compute the standard errors using the form
The largest standard error is at a population proportion of 0.5 (which represents a population split
50-50 between being in the category we are interested in and not begin in). The farther we get from
this 50-50 proportion, the smaller the standard error is. Of the four we computed, the smallest
standard error is at a population proportion of 0.1.
Standard Error from a Formula and a Bootstrap Distribution In exercise 6.20, use Statkey
or other technology to generate a bootstrap distribution of sample proportions and find the stan-
dard error for that distribution. Compare the result to the standard error given by the Central
Limit Theorem, using the sample proportion as an estimate of the population proportion.
Answer:
if p=0.3 and n=81 then find s.e.(p)