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:
I would say b since this defintally usally you aren't expeced to use math ouside of math class at school
Hope This Helps!!!
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4y2-12y+9
The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
C
this is because i randomly guessed on ym test and got it right.
Answer:
= 9
Step-by-step explanation:
We need to find
which will make an equivalent fraction statement.
![\frac{5}{x} = \frac{30}{54}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bx%7D%20%3D%20%5Cfrac%7B30%7D%7B54%7D)
5 x 6 = 30
x 6 = 54 (to find
we should do 54 ÷ 6 which = 9)
So:
![\frac{5}{6} = \frac{30}{54}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%3D%20%5Cfrac%7B30%7D%7B54%7D)
= 9
hope this helps :)