USA Today surveyed fifty-five working parents and asked them if they feel they spend too little time with their children due to work commitments. The findings were recorded In Excel. On the basis of this sample, have we reason to believe that the proportion of working parents who feel they spend too little time with their children due to work commitments is different from 60 to 17 Use the excel output above to answer the following question What is the 98 confidence interval for the population percentage of working parents who feel they spend too little time with their children due to work commitments?
a. (0.6111, 0.7707)
b. (05084, 0.7934)
c. None of the answers is correct
d. (0.54570.8361)
e. (0.5688.0.8130)

d. (0.5457 , 0.8361)

Step-by-step explanation:

From the missing findings recorded in the Excel output; we have:

the sample size to be = 55

count of response = 38

So, the proportion of parents that have the feeling they do spend little time with their children are :

p =

p= 0.69

Thus, p =   sample mean = 0.69

The standard error of the proportion p is expressed as:

S.E = 0.06236

At 98% confidence interval level, the level of significance = 1 - 0.98 = 0.02

Confidence interval =

Confidence interval =

Confidence interval =

Confidence interval =

Confidence interval =

Thus, option d. (0.5457 , 0.8361) is the right answer

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

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