Answer:
a) Null hypothesis:
Alternative hypothesis:
b) 
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
![p_v{/tex} represent the p valuePart aWe want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%: Null hypothesis:[tex]p\leq 0.12](https://tex.z-dn.net/?f=p_v%7B%2Ftex%7D%20represent%20the%20p%20value%3C%2Fp%3E%3Cp%3E%3Cstrong%3EPart%20a%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EWe%20want%20to%20verify%20if%20the%20population%20proportion%20of%20young%20drivers%2C%20ages%2018%20%E2%80%93%2024%2C%20having%20accidents%20is%20greater%20than%2012%25%3A%20%20%3C%2Fp%3E%3Cp%3ENull%20hypothesis%3A%5Btex%5Dp%5Cleq%200.12)
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:
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:
1/2
Step-by-step explanation:
Step 1: You would multiply 2/3 by 3/4.
(Hint: if it is ____ of ____, you would most likely multiply)
Step 2: 2×3/3×4
Step 3: 2×3=6
Step 4: 3×4=12
Step 5: 6/12
Step 6: Simplify 6/12 = 3/6 = 1/2
Hope this helps :)
Answer:
14 and 16.
Step-by-step explanation:
We know that two consecutive even numbers is 30.
Let's let n be <em>any number</em>.
Then the first <em>even</em> number must be 2n.
This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.
Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.
We know that they sum to 30. So, we can write the following equation.
And we solve from there:
So, the value of n is 7.
Therefore, the first even number is 7(2)=14.
And the consecutive even number is 16.
Edit: Typo
Answer:
decreasing
Step-by-step explanation:
"Increasing" means the graph is going up from left to right.
"Decreasing" means the graph is going down from left to right.
"Constant" means the graph is "flat" (this is not a technical term) it is keeping the same y value, neither going up nor going down.
What can be super confusing is the
(2.2, 5) mentioned in the question. THIS IS NOT A POINT. It is an interval and points and intervals unfortunately have the same notation sometimes.
An "interval" is a section of the graph, here: FROM 2.2 not including 2.2, TO 5 not including 5. These are like the address on the x-axis. If you look at your graph at 2.2 on the x-axis, it is a peak(relative maximum) and it goes down to the right to where x is 5 where it bottoms out (relative minimum) So on that interval, from 2.2 to 5, the graph is DECREASING.
The answer should be
780x + 1500y=31000
please correct me if i'm wrong
