Complete question :
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?
Answer:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
Phat 2010 = 0.35
Phat 2012 = 0.41
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.
Sample proportion for 2010:
Phat = x / n
x = 315 ; n = 900
Phat = 315 / 900
Phat = 0.35
Sample proportion for 2012 :
Phat = x / n
x = 410 ; n = 1000
Phat = 410 / 1000
Phat = 0.41
I hope this helps you
f (x)=x^2-10x+25-29
f (x)=(x-5)^2-29
vertex (-(-5), -29)
vertex (5,-29)
97, 19+(11+37)=19+(48)=67 and then add 30 because of 19 and 11 and you get 97
First, we must understand that to find the perimeter of an object you must add up the lengths of each side.
Some options are:
A square (4 sides) with sides of 4 units long.
4x4=16
A rectangle (4 sides) that is 6 units long and 2 units wide
6+2+6+2=16
An octagon (8 sides) with sides 2 units long
8x2=16
42 hours
EXPLANATION:
To find the answer, we should start with the total and get rid of the amounts that we know.
So we know the total is 1,172 in a week, and that 500 dollars of it is for rent.
1,172 - 500 =672.
Now we have 672 left.
We know that it was all spent on employees.
we know it is $16 for each hour.
672 divided by 16 is 42 total hours.
Hope this helps!