Answer:
Z=2.36
P=0.0091
Step-by-step explanation:
The hypothesis is:
π > 0.55 which is the population proportion
The formula to get the test statistic is
Zstat = P-π/√π(1-π)/n
P =507.4/860 = 0.59 (sample proportion )
n =860 (sample size)
π =0.55(population porportion)
Zstat = 0.59-0.55/√0.55(1-0.55)/860
Zstat =2.36
From Z table the probability of Z score of 2.36 is 0.9909
To calculate for P- value will then be
P= 1 - 0.9909
P= 0.0091
Here is the graphed equation :)
You have to upload it from your computer before you press "ADD YOUR ANSWER"
Answer:
1) False
2) False
3) True
4) False
Step-by-step explanation:
1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.
2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.
3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.
4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.
It would round to 5 because 4.999 is closer to 5 than a decimal (idk if that's 100%)
