Question

Statistics Canada reports that 13.7% of adult Canadians aged 15 or older report being limited in their daily activities due to a disability. If you take an SRS of 5000 Canadians aged 15 and over, what is the approximate distribution of the number in your sample who report being limited in their daily activities due to a disability? Select an answer choice. uniform distribution Normal distribution binomial distribution There is no distribution that approximates this situation well.

Answer 1

A: Normal Distribution

Explanation:

We are told that Statistics Canada reported 13.7% of adult Canadians aged 15 or older gave a report of being limited in their daily activities due to a disability.

Now, we are told that Simple Random Sample (SRS) of 5000 Canadians aged 15 and over was taken.

Now, the sample is 5000 and is therefore more than size of 30 which is the minimum for which we assume normal distribution from central limit theorem. This means that the approximate distribution of the number in the sample can be said to be a normal distribution.