Question

if P= 0.3 and n=81, then find S.E.(P)​

Answer 1

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 2

Answer:

if p=0.3 and n=81 then find s.e.(p)