Question

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

Suppose n = 42 p = 0.30.  

What are the values of μ_p̂ and σ_p̂? (For each answer, enter a number. Use 3 decimal places.)

μ_p̂ = mu sub p hat =   

σ_p̂ = sigma sub p hat =   

(b)

Suppose n = 56 and p = 0.19.

What are the values of μ_p̂ and σ_p̂? (For each answer, enter a number. Use 3 decimal places.)

μ_p̂ = mu sub p hat =   

σ_p̂ = sigma sub p hat =   

Answer 1

Solution

Given that,

a) p = 0.30

1 - p = 1 - 0.30 = 0.70

n = 42

= p = 0.30

=  [p( 1 - p ) / n] = [(0.30 * 0.70) / 42 ] = 0.071

b) p = 0.19

1 - p = 1 - 0.19 = 0.81

n = 56

= p = 0.19

=  [p( 1 - p ) / n] = [(0.19 * 0.81) / 56 ] = 0.052