Answer:
p-value: 0.0367
Decision: Reject H₀
Step-by-step explanation:
Hello!
Hypothesis to test:
H₀:ρ₁-ρ₂=0
H₁:ρ₁-ρ₂>0
The statistic to use to test the difference between two population proportions is the approximation of Z
Z=<u> (^ρ₁-^ρ₂)-(ρ₁-ρ₂) </u> ≈N(0;1)
√ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>
Z=<u> (0.28-0.15)-0 </u>= 1.79
√ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>
p-value
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
P(Z>1.79)= 0.0367
Conclusion:
Comparing the p-value against the significance level, you can decide to reject the null hypothesis.
I hope you have a SUPER day!
Answer:
.20
Step-by-step explanation:
75/500 = .15
35-15=20
Step-by-step explanation:
Given,
width = 9cm
so a/q length of the rectangle will be 19 - ( 9×3) = 19 - 27 = 8 cm
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Answer:
(7,4)
Step-by-step explanation:
midpoint formula (x1+x2)/2 , (y1+y2)/2
Look at x and y for the endpoints separately
midpoint x value = ( 1 + x)/2
4= (1 + x)/2
8 = 1 + x
x = 7
midpoint y value = (2 + y)/2
3 = (2 + y)/2
6 = 2 + y
y = 4
endpoint (x,y) = (7,4)
Answer:
y=x+4
Step-by-step explanation:
2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).
If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.
-1=-5+b -1=-5+4
b = 4 -1=-1
