A research was conducted to evaluate the effectiveness
of a client’s new advertising campaign. A pre-survey was
conducted through telephonic interviews for 150
households regarding the awareness of the new product
in a selected area. Around 60 households were labeled to
be “aware.” The new campaign has been started with TV
and newspaper advertisements, which resulted in 120 of
the 250 households being “aware” of the client’s product.
a. What is required to identify if the data are
approximately normally distributed preceding a
hypothesis testing for two population proportions?
Justify it with the data provided in the question.
b. Do the data support the position that the advertising
campaign has provided an increased awareness of
the client’s product? Conduct an appropriate
hypothesis testing by using 5% significance level.