The right answer is of option D.
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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!
Given:
The objective is to find the slope of the straight line.
Explanation:
The general equation to find the slope is,

Let's consider two coordinates from the graph.

On plugging the values in the equation of slope,

Hence, the slope of the straight line is -5.
First you substitute in the values so you have
V^2=(64)20
then you just simplify it
V^2=1280
V=the square root of 1280
V= about 35.7770876
or
V=the square root of 256 times <span>the square root of 5
V=16 times </span><span>the square root of 5
also V would typically be called velocity. it's very similar to speed but it is just easier to remember because it starts with a V</span>
Answer:
width = 10 units and length = 20 units
Step-by-step explanation:
Let the width be w
so Length will be 2w
using the rectangle formula:





Find length:


