387000 times 0.29 <--- (same as 29%)
=112230 (this is the increased value aka the 29%)
387000-112230=274770 (subtracting to find original value)
Answer is $274,770
Answer:
There is not a convincing statistical evidence, at the significance level of a = 0.05, that the manager's belief is correct.
As the null hypothesis maybe false accepting it makes a type II error.
Step-by-step explanation:
Let the null and alternate hypotheses be
H0: p ≤ 0.4 vs Ha : p>0.4
q= 1-p= 1-0.4= 0.6
The significance level alpha is 0.05
The critical region for one tailed test is Z> ± 1.645
The sample proportion is p^= x/n= 38/90=0.42222
Using the z statistic
z= p^- p/ √pq
z= 0.422-0.4/ √0.4*0.6
z= 0.04536
Since the calculated value of z= 0.04536 does not lie in the critical region Z> ± 1.645 we fail to reject null hypothesis.
There is not sufficient evidence to support the manager's claim.
Type I error is when we reject the true null hypothesis .
Type II error is when we accept the false null hypothesis .
As the null hypothesis maybe false accepting it makes a type II error.
1/9*4
multiply across
so, 1*4/9
4/9 or 0.444...
<u>Answer:</u>
The line parallel to y – axis is x = 4. Thus option a is correct.
<u>Solution:</u>
Given, a set of options as linear equations.
We have to choose one which is parallel to the y – axis.
We know that, slope of y – axis is undefined.
As the required line is parallel to the y – axis, its slope should also be equal to slope of y – axis.
Now, let us check one by one option.
Now, a) x = 4
= undefined
Here slope of this line is undefined. Which means it is parallel to y – axis.
So, we got our required answer.
Hence, the line parallel to y – axis is x = 4 i.e. option a is correct.
-5, because when plugging the -1 in for x then multiplying it by 5, you get -5
