I think the graph below is correct.
Please find value of x and y
2 answers:
Answer:
x = , y = -
Step-by-step explanation:
Given 2 equal matrices then the corresponding elements in each matrix are equal, then
2x + y = 1 → (1)
x - 3y = 2 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate y
6x + 3y = 3 → (3)
Add (2) and (3) term by term to eliminate y
7x + 0 = 5
7x = 5 ( divide both sides by 7 )
x =
Substitute this value into (1) and evaluate for y
+ y = 1 ( subtract
from both sides )
y = -
= -
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Answer:
The p-value for the test of hypothesis is P(z<-3.617)=0.0002.
Step-by-step explanation:
Hypothesis test on the difference between proportions.
The claim is that the percent of males who are underclassmen stats students (π1) is less than the percent of females who are underclassmen stats students (π2).
Then, the null and alternative hypothesis are:
The male sample has a size n1=156. The sample proportion is p1=81/156=0.52.
The female sample has a size n2=221. The sample proportion in this case is p2=221/320=0.69.
The weigthed average of proportions p, needed to calculate the standard error, is:
The standard error for the difference in proportions is:
Then, we can calculate the z-statistic as:
The P-value for this left tailed test is: