Answer:
Option C is correct.
The test statistic for this question is -3.13
Step-by-step explanation:
To compute the z-test statistic, the formula is given as
z = (x - μ₀)/σₓ
x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15
μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20
σₓ = standard error of the sample proportion = √[p(1-p)/n]
p = 0.15
n = Sample size = 500
σₓ = √[0.15×0.85/500] = 0.01597
z = (0.15 - 0.20) ÷ 0.01597
z = -3.13
Hope this Helps!!!
Remember that you can always multiply or divide BOTH the numerator and denominator
of the fraction by anything you want to. You just have to do exactly the same to both of
them.
The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.
Do you see all of those 'x's on the top and bottom ? The top and bottom can
both be divided by x-cubed.
<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.
<u>Denominator:</u>
Divide (x³ - 2x⁴) by x³, and you have (1 - 2x) left.
So, the simplified fraction is [ -4 / (1 - 2x) ].
That's a perfectly good answer, but you could make it look a little prettier
if you multiply the top and bottom both by -1 . Then it would be
4 / (2x - 1) .
Either one is fine.
The given equation is

First we solve for y, and for that, we have to islolate y, that is

And it pass the vertical line test. So here y is a function of x .
So we can define the given equation as y as a function of x .
If each letter is 1, abc would be equal to 3.