Answer:
A)![H_{0}: p \leq 0.42\\H_A: p > 0.42](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20p%20%5Cleq%200.42%5C%5CH_A%3A%20p%20%3E%200.42)
B)
![z_{critical} \text{ at 0.001 level of significance } = \pm 3.291](https://tex.z-dn.net/?f=z_%7Bcritical%7D%20%5Ctext%7B%20at%200.001%20level%20of%20significance%20%7D%20%3D%20%5Cpm%203.291)
Step-by-step explanation:
A) We are given the following in the question:
At most 42% of car crashes occur within 2 miles of the motorists home
p = 42% = 0.42
We design the null and the alternate hypothesis in the following manner:
![H_{0}: p \leq 0.42\\H_A: p > 0.42](https://tex.z-dn.net/?f=H_%7B0%7D%3A%20p%20%5Cleq%200.42%5C%5CH_A%3A%20p%20%3E%200.42)
At most 42% of car crashes occur within 2 miles of the motorists home which means car crashes should be less than equal to 42% but not greater than 42%.
The null hypothesis sates that 42% or less car crashes occur within 2 miles of the motorists home.
The alternate hypothesis state that more than 42% of car crashes occur within 2 miles of the motorists home.
B) We have to find the value of z critical for given conditions
We are performing a two tailed test.
Alpha, α = 0.001
Calculating the z value from the standard z-table. We find the value from the table under the level of significance 0.001
The value obtained is used as the acceptance region for the null hypothesis.
The obtained acceptance region can be written as:
![z_{critical} \text{ at 0.001 level of significance } = \pm 3.291](https://tex.z-dn.net/?f=z_%7Bcritical%7D%20%5Ctext%7B%20at%200.001%20level%20of%20significance%20%7D%20%3D%20%5Cpm%203.291)
If the calculated z score lies in this region we accept the null hypothesis. If not we reject the null hypothesis.
Answer:
The first one
Step-by-step explanation:
Parentheses are used to enclose incidental or extra information, such as a passing comment, a minor example or addition, or a brief explanation
Answer:
The answer is: Integers, and Rational Numbers.
Step-by-step explanation:
Remember that if f and g are inverses of one another, then
f(g(x)) = g(f(x)) = x
1/2. Take a = 0 and b = 1 (or any non-zero number) so that
f(x) = x + 0/1 ⇒ f(x) = x
If g is to be an inverse of f, we need
g(f(x)) = g(x) = x
so that c = 1 and d = 0.
3. With f(x) = x + a/b and g(x) = cx - d, we have
g(f(x)) = g(x + a/b) = c (x + a/b) - d = cx + ac/b - d
and of course, with a,b,c,d as before, we get g(f(x)) = x.
4. This would be a very uninteresting graph for the example I've cooked up here, just containing the line y = x...
Answer:
131/4
Step-by-step explanation:
you multiply the denominator by 32 (which is 4) and you add it to the numerator)
32 x 4 = 128
128 + 3 = 131
so your answer is 131/4
and your the answer for your equation 32 3/4 - 12 1/2
32 3/4 − 12 1/2
= 131/4 − 25/2
= 81/4
= 20 1/4