A sample of n = 168 students was asked, "Do you believe in love at first sight?" The choices below show confidence intervals, in scrambled order, for 90%, 95%, 98%, and 99% confidence levels for the population proportion who would answer yes. Which choice gives the 99% confidence interval? Group of answer choices

Group of answer choices:

A) 0.56 to 0.68

B) 0.52 to 0.72

C) 0.53 to 0.71

D) 0.55 to 0.69

Option  B) 0.52 to 0.72

Step-by-step explanation:

This is a very trivial exercise. A very good point that is required to solve this question is that the wider the Confidence level, the wider the Confidence Interval.

Let us consider the options one after the other for the width of interval:

Option A) 0.56 to 0.68

Width of Interval = 0.68 - 0.56 = 0.12

Option  B) 0.52 to 0.72

Width of Interval = 0.72 - 0.52 = 0.20

Option  C) 0.53 to 0.71

Width of Interval = 0.71 - 0.53 = 0.18

Option D) 0.55 to 0.69

Width of Interval = 0.69 - 0.55 = 0.14

Assigning the confidence level based on the width of the confidence intervals:

Option A) 0.56 to 0.68 = 90%

Option D) 0.55 to 0.69 = 95%

Option  C) 0.53 to 0.71  = 98%

Option  B) 0.52 to 0.72  = 99%

4.6875 pounds

step-by-step explanation:

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