Question

A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator. The sample results of 90 companies follow (Y denotes that the company does have at least one bilingual operator; N denotes that it does not).

N	N	N	N	Y	N	Y	N	N
Y	N	N	N	Y	Y	N	N	N
N	N	Y	N	Y	N	Y	N	Y
Y	Y	N	Y	N	N	N	Y	N
N	Y	N	N	N	N	N	N	N
Y	N	Y	Y	N	N	Y	N	Y
N	N	Y	Y	N	N	N	N	N
Y	N	N	N	N	Y	N	N	N
Y	Y	Y	N	N	Y	N	N	N
N	N	N	Y	Y	N	N	Y	N

Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.

(Round the answers to 3 decimal places.)

(blank) ≤ p ≤ (blank)

Answer 1

Given n = 90, Y denotes that the company does have at least one bilingual operator = 30

The 95% confidence the proportion of the population that does have at least one bilingual operator is between 0.236 and 0.431.