Answer: The proportion of new car buyers that trade in their old car has statistically significantly decreased.
Step-by-step explanation:
Since we have given that
p = 48% = 0.48
n = 115
x = 46
So, ![\hat{p}=\dfrac{46}{115}=0.40](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B46%7D%7B115%7D%3D0.40)
So, hypothesis would be
![H_0:\ p=\hat{p}\\\\H_a:p](https://tex.z-dn.net/?f=H_0%3A%5C%20p%3D%5Chat%7Bp%7D%5C%5C%5C%5CH_a%3Ap%3C%5Chat%7Bp%7D)
So, test value would be
![z=\dfrac{p-\hat{p}}{\sqrt{\dfrac{p(1-p)}{n}}}\\\z=\dfrac{0.48-0.40}{\sqrt{\dfrac{0.48\times 0.52}{115}}}\\\\z=\dfrac{0.08}{0.0466}\\\\z=1.72](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bp-%5Chat%7Bp%7D%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5Cz%3D%5Cdfrac%7B0.48-0.40%7D%7B%5Csqrt%7B%5Cdfrac%7B0.48%5Ctimes%200.52%7D%7B115%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.08%7D%7B0.0466%7D%5C%5C%5C%5Cz%3D1.72)
At 10% level of significance, critical value would be
z= 1.28
Since 1.28 < 1.72
So, we will reject the null hypothesis.
Hence, the proportion of new car buyers that trade in their old car has statistically significantly decreased.
Answer:
![b=\frac{1}{6}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
In
,
represents a constant related to the period of the function. Here's how it's related:
, where
is the period of the function.
We're given
, so solving for
:
![b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B2%5Cpi%7D%7B12%5Cpi%7D%3D%5Cboxed%7B%5Cfrac%7B1%7D%7B6%7D%7D)
I can answer this but I need more terms
Answer:
24 = questions on test
Step-by-step explanation:
Questions answered correctly = questions on test * percent answered correctly
We know that she answered 18 correctly and that 75% were answered correctly
Substitute this information into the equation
18 = questions on test *.75
Divide by .75 on each side
18/.75 = questions on test *.75/.75
24 = questions on test
So it is an isosceles triangle that means that the bottom two angles are equal...
so
40 = 5x
divide both sides by 5 and you get 8
now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40
You are correct!!! :)