10-20=10so the answer and 10-9=1 so that's the answer
Answer:
a) Null hypothesis:
Alternative hypothesis:
b) ![z_{\alpha}=1.64](https://tex.z-dn.net/?f=%20z_%7B%5Calpha%7D%3D1.64)
c)
d)
e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Step-by-step explanation:
Information given
n=1000 represent the random sample selected
X=134 represent the number of young drivers ages 18 – 24 that had an accident
estimated proportion of young drivers ages 18 – 24 that had an accident
is the value that we want to verify
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
Alternative hypothesis:
The statistic would be given by:
(1)
Part b
For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:
![z_{\alpha}=1.64](https://tex.z-dn.net/?f=%20z_%7B%5Calpha%7D%3D1.64)
Part c
For this case the statistic would be given by:
Part d
The p value can be calculated with the following probability:
Part e
For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Answer:
Area of shaded region=41 square feet
Area of non shaded region= 87 square feet
Step-by-step explanation:
As, Shaded area is made of different shapes including two rectangles and one triangle
So,
Area of shaded region,
![=(8\times2)+(10\times 1)+(\frac{1}{2}\times 3\times10)\\\\ =16+10+15=41 \quad \text{square feet}](https://tex.z-dn.net/?f=%3D%288%5Ctimes2%29%2B%2810%5Ctimes%201%29%2B%28%5Cfrac%7B1%7D%7B2%7D%5Ctimes%203%5Ctimes10%29%5C%5C%5C%5C%20%3D16%2B10%2B15%3D41%20%5Cquad%20%5Ctext%7Bsquare%20feet%7D)
Area of non shaded region=total area of rectangular region-Shaded region
![=(16\times 8)-(41)\\=128-41\\=87 \quad \text{square feet}](https://tex.z-dn.net/?f=%3D%2816%5Ctimes%208%29-%2841%29%5C%5C%3D128-41%5C%5C%3D87%20%5Cquad%20%5Ctext%7Bsquare%20feet%7D)
1. 1000 2. 0.001. hope this helps.
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.