\(np = 25(0.15)\)

\(np = 3.75\)

\(nq=25(1-0.15)\)

\(nq=21.25\)

Since both the values np and nq are not greater than 5, hence, we cannot approximate the \(\hat{p}\) distribution by a normal distribution.

Question

asked 2020-10-21

(a) Suppose \(n = 100\) and \(p= 0.23\). Can we safely approximate the \(\hat{p}\) distribution by a normal distribution? Why?

Compute \(\mu_{\hat{p}}\) and \(\sigma_{\hat{p}}\).

asked 2021-02-16

(b) Suppose \(n= 20\) and \(p=0.23\). Can we safely approximate the \(\hat{p}\) distribution by a normal distribution? Why or why not?

asked 2021-02-13

(a) Suppose \(n = 33\) and \(p = 0.21\). Can we approximate the \(\hat{p}\)

distribution by a normal distribution? Why? What are the values of \(\mu_{\hat{p}}\) and \(\sigma_ {\hat{p}}\).?

asked 2020-11-05

Basic Computation:\(\hat{p}\) Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(c) Suppose \(n = 48\) and \(p= 0.15\). Can we approximate the \(\hat{p}\) distribution by a normal distribution? Why? What are the values of \(\mu_{hat{p}}\) and \(\sigma_{p}\).?

(c) Suppose \(n = 48\) and \(p= 0.15\). Can we approximate the \(\hat{p}\) distribution by a normal distribution? Why? What are the values of \(\mu_{hat{p}}\) and \(\sigma_{p}\).?