An organization consists of 8,684 employees. they decided to conduct a survey about their new vacation policies. the organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. assuming a 95% confidence level, which of the following statements holds true?

a. as the sample size is appropriately large, the margin of error is ±0.032.

b. as the sample size is too small, the margin of error is ±0.032.

c. as the sample size is appropriately large, the margin of error is ±0.0265.

d. as the sample size is too small, the margin of error cannot be trusted..

i think the answer is a. am i correct?

The correct option is A.

Step-by-step explanation:

An organization consists of 8,684 employees. The organization surveyed 884 of their employees and found that 36% of those surveyed disliked the new vacation policies. It means

The value of z-score for 95% confidence level is 1.96.

The formula for margin of error is

Where, z is z-score at given confidence level, p is sample proportion and n is number of samples.

The margin of error is ±0.032 and the sample size is appropriately large. Therefore, the correct option is A.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!