Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Answer:
Yes
Step-by-step explanation:
The smaller two sides have to be greater than the biggest side.
2+8>9, so it can make a triangle.
All Real Numbers is the domain
Answer:
n0...
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
5(x + 4) – x = 4(x + 5) – 1
x = ?
Solution:
5(x+4)−x=4(x+5)−1
Apply Distributive property:
- (5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
- 5x+20−x=4x+20−1
Combine Like Terms:
- (5x−x)+(20)=(4x)+(20−1)
- 4x+20=4x+19
- 4x+20=4x+19
Subtract 4x from both sides:
Subtract 20 from both sides:
There isn't any solutions.