Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Answer:
(pi)4 or about 12.57 sq. units
Step-by-step explanation:
The base area of a cylinder is a circle.
Since we know that the radius is 2, we can use the equation A = (pi)r^2 to find the area.
So, using this formula, the area is (2)(2)(pi), about 12.57 sq. units (area is squared!)
Answer:
2/8 and 5/8
Step-by-step explanation:
4=2×2
8=2×2×<em>2</em>
<em>LCM=</em>2×2×<em>2</em>=8
1/4 × 2/2 = 2/8
6x - 11 - 2x = -7
4x - 11 - = -7
4x = 11
X= 2
12- 11 -4 -3y = -7
-3 -3y = -7
-3y = -4
Y = -1
It should be 2,-1
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