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:
y = -1/2x
Step-by-step explanation:
The y - intercept is 0, because the point where the line touches the y - axis is y - value of 0
The slope is -1/2 because as it rises by -10, it runs by 20
Slope is rise/run which is -10/20 which simplifies to -1/2
y = mx + b
b = y - intercept
m = slope
y = -1/2x + 0 or y = -1/2x
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Answer:The slope of AB is - 2,
Slope of BC is
Slope of CD is
Slope of AD is ,
Step-by-step explanation:
Answer:
250
Step-by-step explanation:
5*5=25
25*10=250
+$++$$+$
Side = 8m
He increases length by 2m and reduces width by 2m
(a.) New dimensions will be -
Length = 10m and Width = 6m
(b.) Area = length x breadth (or width)
here we will use the special product (x+y) (x-y)
length = (x+y) and width = (x-y)
area = (8+2) x (8-2)
8^(2) - 2^(2)
= 60
