Answer: 3.21
Step-by-step explanation:
As per given description, we have
Population proportion : 
Sample size : n= 300
Sample proportion : 
Test statistic for population proportion :-
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.71-0.62}{\sqrt{\dfrac{0.62(1-0.62)}{300}}}\\\\=3.21155595947\ \ \\\\\approx3.21 \ \ \text{[Rounded to 2 decimal places. ]}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B0.71-0.62%7D%7B%5Csqrt%7B%5Cdfrac%7B0.62%281-0.62%29%7D%7B300%7D%7D%7D%5C%5C%5C%5C%3D3.21155595947%5C%20%5C%20%5C%5C%5C%5C%5Capprox3.21%20%5C%20%5C%20%5Ctext%7B%5BRounded%20to%202%20decimal%20places.%20%5D%7D)
Hence, the test statistic for this hypothesis test for a proportion= 3.21
Answer:
46.66 or if rounded 46.7
Step-by-step explanation:
First you want to do 28x5 that would get you 140
Then, you divide 140 by 3. That would get you ur answer, Hope this helped!! :)
The answer is D.
Explanation- 28/7=4
19-4 =15
The X and Y angles created by lines intersection in the pictures are 18° and 54°.
Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:
∠MON = ∠MOA +∠AON = 90°
∠MON = 72° + ∠AON = 90°
∠AON = 18° ... (i)
If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:
∠AOD = ∠BOC
∠AOC = ∠BOD
∠AOD + AOC = 180°
∠BOC + ∠BOD = 180°
Based on the picture, we know that:
∠BOC = x
∠AOC = ∠MOA + ∠MOC
∠AOC = 72° + y ...(ii)
∠AOD = ∠AON + ∠NOD
∠AOD = 18° +2x
∠BOC = 3x ... (iii)
Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:
∠BOC = ∠AOD
3x = 18° + 2x
x = 18° ... (iv)
To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we know that:
∠AOC + ∠BOC = 180° ... (v)
Input equations (ii) and (iv) into (v)
∠AOC + ∠BOC = 180°
(72° + y) + 3x = 180°
72° + y + 3(18°) = 180°
126° + y = 180°
y = 54° ... (vi)
Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults
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