Answer:
- There is no significant evidence that p1 is different than p2 at 0.01 significance level.
- 99% confidence interval for p1-p2 is -0.171 ±0.237 that is (−0.408, 0.066)
Step-by-step explanation:
Let p1 be the proportion of the common attribute in population1
And p2 be the proportion of the same common attribute in population2
: p1-p2=0
: p1-p2≠0
Test statistic can be found using the equation:
where
- p1 is the sample proportion of the common attribute in population1 (
)
- p2 is the sample proportion of the common attribute in population2 (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the people from population1 (30)
- n2 is the sample size of the people from population2 (1900)
Then 
≈ 2.03
p-value of the test statistic is 0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.
99% confidence interval estimate for p1-p2 can be calculated using the equation
p1-p2±
where
- z is the z-statistic for the 99% confidence (2.58)
Thus 99% confidence interval is
0.533-0.704±
≈ -0.171 ±0.237 that is (−0.408, 0.066)
Answer:
A because he can press it whenever he wants to and that will be variability because it is different
pls give brainliest
Step-by-step explanation:
The first one is -4 and the second one is 6.
125 = 5^3 = 25 * 5
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.
Well I don't know !
Let's figure it out together.
Each cube can land in 6 different ways, so the total number
of possible results with two cubes is (6 x 6) = 36 .
Now we need to figure out how many of those 36 possibilities
meet your specifications ... either 9 or any even number.
Ways to make 9 :
3 . . . 6
6 . . . 3
4 . . . 5
5 . . . 4
Four ways to make 9.
____________________________
Ways to make an even number:
1 . . . 1
3 . . . 1
1 . . . 3
2 . . . 2
5 . . . 1
1 . . . 5
6 . . . 2
2 . . . 6
6 . . . 4
4 . . . 6
6 . . . 6
Eleven ways to make an even number.
_____________________
Total number of ways to succeed = (4 + 11) = 15 ways
So the probability of succeeding (rolling 9 or an even number)
is
15 / 36 = 5 / 12 = 0.41666... = (41 and 2/3) % .
