A study of alcohol awareness among college students reported a higher awareness for students enrolled in a health and safety class than for those enrolled in a statistics class. The difference is described as being statistically significant. What does this mean

These are the multiple choice options to the question

A. The difference observed would most probably arise by chance.

B. The difference observed would rarely arise by chance.

C. There was a very small difference observed.

The observed difference would rarely occur by chance

Step-by-step explanation:

When we talk about something being statistically significant, what we are saying is that it rarely occurs by chance at a given level of significance. The existing data gives us the correct results to a great extent.

We are told in this question that those that are enrolled in health and safety class are more aware of the subjects that affect the health and safety. Now the results have shown that this is true indicating that a difference exists. Therefore it is statistically significant.

For this question the hypothesis is

H0: μ1 - μ2 = 0(no difference)

H1; μ1- μ2 is not equal to 0. (Difference exists)

We reject h0 and accept that there is a difference hence it is statistically significant.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: