How many standard errors from the mean are the following ass

How many standard errors from the mean are the following assuming one-tail results? show work

a. p=0.05, n=10

b. p=0.12, n=10

Solution

a)
Standard Error = Sqrt(p*(1-p)/n))
x = Mean
n = Sample Size,
Sample Size(n)=10
Sample proportion =0.05
Standard Error = Sqrt ( (0.05*0.95) /10) )
= 0.0689
b)
Sample Size(n)=10
Sample proportion =0.12
Standard Error = Sqrt ( (0.12*0.88) /10) )
= 0.1028