Answer:
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
Step-by-step explanation:
Subtract the 4 from 9
Answer:
Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance
null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Step-by-step explanation:
<em>Step(I)</em>:-
Given surveyed two random samples of 390 men and 360 women who were tested
first sample proportion
![p_{1} = \frac{360}{390} = 0.9230](https://tex.z-dn.net/?f=p_%7B1%7D%20%3D%20%5Cfrac%7B360%7D%7B390%7D%20%3D%200.9230)
second sample proportion
![p_{2} = \frac{47}{52} = 0.9038](https://tex.z-dn.net/?f=p_%7B2%7D%20%3D%20%5Cfrac%7B47%7D%7B52%7D%20%3D%200.9038)
Step(ii):-
Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Alternative Hypothesis:-
There is difference between proportion of positive tests among men is different from the proportion of positive tests among women
![Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7Bp_%7B1%7D-%20p_%7B2%7D%20%7D%7B%5Csqrt%7BPQ%28%5Cfrac%7B1%7D%7Bn_%7B1%7D%20%7D%2B%5Cfrac%7B1%7D%7Bn_%7B2%7D%20%7D%20%20%7D%20%7D)
where
![P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Bn_%7B1%7Dp_%7B1%7D%20%2Bn_%7B2%7D%20%20p_%7B2%7D%20%7D%7Bn_%7B1%7D%2Bn_%7B2%7D%20%20%7D)
P = 0.920
![Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B0.9230-0.9038%7D%7B%5Csqrt%7B0.920%20X0.08%28%5Cfrac%7B1%7D%7B390%7D%2B%5Cfrac%7B1%7D%7B52%7D%20%20%7D%20%29%7D)
Test statistic Z = 0.13008
Level of significance = 0.10
The critical value Z₀.₁₀ = 1.645
Test statistic Z=0.13008 < 1.645 at 0.1 level of significance
Null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Answer:
f(2)=1/9
Step-by-step explanation:
f(x)=(1/3)^x
f(2)=(1/3)^(2)
f(2)=1/9
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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