Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

Answers

For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, withn=36and p as 0.23, we can approximate phat by a normal distribution.

Sincen=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77

therefore,

n*p= 36*0.23 =8.28>5

n*q = 36*0.77=27.22>5

and therefore, phat can be approximated by a normal random variable, because n*p>5 and n*q>5.

The question is incomplete, a possible complete question is:

Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)

binomial experimentin which success is defined to be a particular quality orattributethat interests us, with,we can approximatephatbya normal distribution.8.28>527.22>5phatcan be approximated by a normalrandom variable,becausen*p>5 and n*q>5.binomial experimentin which success is defined to be a particular quality or attribute that interests us.normal distribution?Why? (Use 2 decimal places.)binomial experimentsat