The only pairs for the greatest common factors of 5 are 1, 5
Answer:
(1)
: p = 0.5,
: p > 0.5
(2) Test statistic = 3.08
(3) P-value = 0.00104
Step-by-step explanation:
We are given that a simple random sample of 1475 adults shows that 54% of Americans think the Civil War is still relevant to American politics and political life.
We have to test the hypothesis to determine if there is a strong evidence that the majority of the Americans think the Civil War is still relevant.
(1) Let Null Hypothesis,
: p = 0.50 {means that 50% of the Americans think that the Civil War is still relevant}
Alternate Hypothesis,
: p > 0.50 {means that majority of the Americans think that the Civil War is still relevant,i.e; more than 50%}
The test statistics that will be used here is One-sample proportion test;
T.S. =
~ N(0,1)
where,
= % of Americans who think that the Civil War is still relevant in a sample of 1475 adults = 54%
p = population proportion
n = sample of american adults = 1475
(2) So, <u>test statistics</u> =
= 3.08
The value of test statistic for this hypothesis test is 3.08.
(3) P-value is given by the following situation;
P(Z > 3.08) = 1 - P(Z
3.08) {using z table}
= 1 - 0.99896 = 0.00104
So, the p-value for this hypothesis test is 0.00104.
Answer:
the answer is 60%
Step-by-step explanation:
1520-950/950 x 100
570/950 x 100 = 60%
1. 1/10 (3000) = 3000/10 = 300...so 1/10 of 3000 is 300
300/10 = 30...and 300 is 10 times as much as 30
2. 10 times as much as 8 = (10 x 8) = 80
1/10x = 80
x = 80 * 10 = 800
so 1/10 of 800 is 10 times as much as 8
3. 1/10(50,000) = 50,000/10 = 5000
5000/10 = 500
1/10 of 50,000 is 10 times as much as 500
4. 1/10(40,000) = 40,000/10 = 4,000
4000/10 = 400
1/10 of 40,000 is 10 times as much as 400
5. 1/10 (900) = 900/10 = 90
10x = 90
x = 90/10
x = 9
10 times as much as 9 is 1/10 of 900
6. 1/10 (60,000) = 60,000/10 = 6000
10x = 6000
x = 6000/10
x = 600
10 times as much as 600 is 1/10 of 60,000
7. 70 x 10 = 700
1/10x = 700
x = 700 * 10
x = 7000
10 times as much as 700 is 1/10 of 7000
8. 10 x 2000 = 20,000
1/10x = 20,000
x = 20,000 * 10
x = 200,000
10 times as much as 2000 is 1/10 of 200,000
9. 10 times as much as 2000.....2000 x 10 = 20,000
1/10 of what is 20,000.....1/10x = 20,000....multiply both sides by 10, this eliminates the 1/10 on the left side....resulting in 200,000.
so basically, 10 times as much as 2000 = 20,000 and 1/10 of 200,000 = 20,000