Instruction 8-14
After an extensive advertising campaign, the manager of a company wants to estimate the proportion of potential customers that recognise a new product. She samples 120 potential consumers and finds that 54 recognise this product. She uses this sample information to obtain a 95% confidence interval that goes from 0.36 to 0.54.
-Referring to Instruction 8-14,this interval requires the assumption that the distribution of the number of people recognising the product has a normal distribution.

Question

Quizplus · Accepted Answer

The confidence interval for a proportion is based on the sampling distribution of the sample proportion, which, according to the Central Limit Theorem, approaches a normal distribution as the sample size increases, not on the normality of the distribution of the number of people recognizing the product itself.

Instruction 8-14 After an Extensive Advertising Campaign, the Manager of a Company