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.