A survey of a random sample of U. S. adults by The Pew Research Center for the People and the Press conducted in early January 2010 recorded each participant’s highest level of education completed and whether they knew that responding to the Census was required by law. Of the 973 participants who had some college or less, 27.9% (271/973) knew that responding to the Census was required by law. Of the 526 participants who had a college degree or more, 37.1% (195/526) knew that responding to the Census was required by law. Is there an association between a person’s level of education and her/his Census awareness?
1. Use an appropriate randomization-based applet to find a p-value. Round your answer to two decimal places.
2. Based on this p-value, how much evidence do you have against the null hypothesis?
A. We have no evidence against the null hypothesis.
B. We have very weak evidence against the null hypothesis.
C. We have very strong evidence against the null hypothesis.

Multiple sub-parts. Solving first four

Proportion for who had degress or more, p1 = 271/973 = 0.28

Proportion for who had degress or less, p2 = 195 /526 = 0.37

Now, we use hypothesis testing proportion difference:

p = (271 +195) / (973+526) = 466/1499 = 0.31

SE = sqrt{ p * ( 1 - p ) * [ (1/n1) + (1/n2) ] }

= V0.31 * 0.69 * 0.003

= 0.025

z = (p1 - p2) / SE

= (0.28- 0.37)/0.025 = -3.6

For this z, p-value is 0.0001

Hence we can reject null hypothesis by 99.99% surety

So, C. We have very strong evidence against the null hypothesis.

The appropriate standardized statistic in the context of the study is z = -3.6

The p-value and standardized statistic both lead you to the same conclusion. A. True

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