Describe a scenario where a researcher could use a goodness of fit test to answer a research question. fully describe the scenario and the variables involved and explain the rationale for your answer. why is that test appropriate to use? (3 points) describe a scenario where a researcher could use a test for independence to answer a research question. fully describe the scenario and the variables involved and explain the rationale for your answer. why is that test appropriate to use? (3 points) the goodness of fit test and test for independence both use the same formula to calculate chi-square. why? i. e., explain the logic of the test. (3 points) compare the goodness of fit test and the test for independence in terms of the number of variables and levels of those that can be compared. in what ways are they similar or different? (3 points) describe how the test for independence and correlation are similar yet different. (3 points)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

step-by-step explanation:

a and d

8

step-by-step explanation: