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.
 
        
             
        
        
        
40/100= 56/x
40x=100(56)
40x=5600
Divide both sides by 40 to get x alone.
X=140
        
                    
             
        
        
        
A) (2+2)times3 because you will have to distributive properties, 
        
                    
             
        
        
        
The general equation for any circle with its center at point (a, b) is
                 (x - a)² + (y - b)²  =  (radius)²
So the circle in the question is centered at (-3, -4), and its radius is  3 .
        
             
        
        
        
Answer:
q=3
Step-by-step explanation: