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:
57 and 12
Step-by-step explanation:
<span>1) supplementary angles => sum of angles' measure is 180°
Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two
= > angle 1 + angle 2 = 180°
Then those two match.
2) complementary angles => sum of the two angles = 90°
Two lines intersecting in a right angle with a square indicating a right
angle in quadrant one and a ray splitting quadrant two with a two
labeling the left angle and one labeling the angle on the right
=> angle 2 + angle 1 = 90°
Then those two match
3) vertical angles
Two parallel horizontal lines intersected by a vertical line with a
square indicating a right angle in quadrant one of the top line and a
one labeling the angle in quadrant two and two labeling quadrant four of
the top line
Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.
4) adjacent angles
Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Those two match becasue the angle of 157° and the angle of X° are adjacent.
</span>
5.008
As a fraction: 5008 / 1000
As a mixed number: 5 and 8/1000
One half of a certain number is 95 is depicted by <span>1/2 · n = 95</span>
