Answer:
y
Step-by-step explanation:
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:
Step-by-step explanation:
check attachment
f(x,y)=xy Δf(2,5)
fx=y = 5
fy=x = 2
Gradient Vector:
<5,2>
Tangent Vector:
0=fx(x-2) + fy(y-5)
0=5(x-3) + 2(y-2)
11=5x+2y
Answer:
yes very much so
Step-by-step explanation:
yes I don't know why but I am really and truly
