Question

4d. Health Survey. In a survey of 1020 adults in the United States, 44% said that they wash their hands after riding public transportation (based on data from KRC Research) d. Are the numbers of subjects in such surveys discrete or continuous?

Answer 1

Answer:

Discrete. See explanation below

Step-by-step explanation:

We need to remember some previous concepts:

We have two types of numerical data: Discrete and Continuous

When we say Discrete data we are refering to data that is countable or can be expressed with integers in a domain.

In the other case when we talk about continuous data we are refering to data that is continuous in a specified domain, it can contain decimals or rational numbers in the Real numbers for example.

For this special case we know that they select a sample size of n=1020 and the sample proportion of people in the United States who wash their hands after riding public transportation was 0.44 or 44% in percentage.

$\hat p = \frac{X}{1020}=0.44$

$X=0.44*1020=448.8 \approx 449$

But the number of subjects on this survey needs to be Discrete, since the possible values are 0,1,2,3,4,.....,n and never we have decimals or continuous data in order to express this.