Draw some pictures Consider the binomial settings n100 and p

Draw some pictures. Consider the binomial settings n=100 and p=0.4

a)the sample proportion p will have a distribution that is aprox normal. Give the mean and standard deviation of this normal distrubtion.

b) draw sketch of this normal distribution . mark the location of the mean.

c) find thevalue of x for which the propability is 95% that p is within x of 0.4. mark the corresponding interval on your plot.

a) mean = 40... s.d = sqrt ( 0.4 * 0.6 / 100 ) = 0.048989794...
c) x= 1.96 * 0.048989794 = 0.096
a 95% confidence interval= ( 0.304 , 0.496 )...