Question

A random sample of 56 households was selected for a phone survey. The key question asked was, "Do you or any member of your household own a product from Company A?" of the 56 respondents, 42 say yes and 14 said no.

A. determine the same population, p, of households that own a Company A product.

B. If the population proportion is 0.75, determine the standard error of the proportion.

a. p =

Answer 1

A) sample proportion of households that own a Company A product

(P) =

Where

( x= 42 ) is the households that own a Company A product.

(n= 56) is the sample size.

P= = 0.75

P = 0.75

B) Standard error of proportion

=

Where p= 0.75 , n =56

0.0578637562

0.0579