2. A CNN poll asked a random sample of 1500 US high schoolers if they wash their hands after using the restroom. Define p(hat) as the proportion of high school students who do not wash their hands after using the restroom. Suppose that the proportion of all high schooler that do not wash their hands after using the restroom is 48%. a. What is the mean of the sampling distribution p(hat)?
b. Find the standard deviation of p(hat). Make sure the 10% condition is met. (n≤1/10N)
c. Is the sampling distribution approximately Normal? Make sure the Large Counts Condition is met.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

a

step-by-step explanation:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

the graph line crosses the x axis at both -6 and -2, so the answer would be the second one.