Question

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. A survey of 800 randomly selected consumers is to be conducted. For such groups of 800, would it be unusual get 556 consumers who recognize the Dull Computer Company name?

Answer 1

No, it would be usual

Explanation:

The mean will be
`\frac {68}{100}* 800=544`

Standard deviation
`s=\sqrt {np(1-p)}=\sqrt {800*0.68*(1-0.68)}=13.2`

The confidence level will be mean±2*standard deviation

Confidence level= 544±2*13.2=544±26.6 hence 517.6 or 570.4

Getting 556 consumers who recognize the Dull Computer Company name won't be unusual because it's within limits