Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Answer:
(14a+3, 21+4) = 1
Step-by-step explanation:
We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.
gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1
Therefore,
(14a + 3, 21a + 4) = 1
Answer:
pretty sure its d
Step-by-step explanation:
Because a has spread out dots and b has them all towered and neat so d
Answer:
The answer is No.
Step-by-step explanation:
The answer is no because an integer is any whole number that isn't a fraction. So this can be positive and still be an integer.
Hello!
You solve this like an algebraic equation
You first distribute the 4 and 2
4x - 20 = 2x - 20 + 2x
Combine like terms
4x - 20 = 4x - 20
subtract 4x from both sides
-20 = 0x - 20
Add 20 to both sides
0 = 0
This means that there are infinite solutions to the equation.
Hope this helps!