Answer:
the answers are below:
Step-by-step explanation:
a. null hypothesis:
H0: Pw - Pm = 0 (so Pw = Pm)
alternate hypothesis:
H1: Pw - Pm > 0 (so Pw > Pm)
<u>where Pw is the proportion of women</u>
<u>Pm is the proportion of men</u>
b.) proportion of women = o.40
proportion of men = 0.32
sample size of women = 20
sample size of men = 25
![z = 0.4 - 0.32/ \sqrt{((0.4 *0.6)/20) * (0.32 * 0.68)/25)}](https://tex.z-dn.net/?f=z%20%3D%200.4%20-%200.32%2F%20%5Csqrt%7B%28%280.4%20%2A0.6%29%2F20%29%20%2A%20%280.32%20%2A%200.68%29%2F25%29%7D)
![z = 0.56](https://tex.z-dn.net/?f=z%20%3D%200.56)
c.) p value =
p(z>0.56)
= 0.7123
= 1 - 0.7123
= o.2877 which can be approximated to be 0.288
d. alpha value was set at 0.05
the p value is greater than alpha.
therefore it is not statistically significant.
we conclude that the proportion of roman catholic women is not greater than men.
The centroid is where the medians, or lines from one angle to the midpoint of the opposite side, meet. This point is the center of mass and balance (D) of a triangle.
Answer:
x = 10
Step-by-step explanation:
We can use the Angle Bisector of a triangle and proportions to solve this problem. Put the smaller triangle over the larger triangle.
AB x+4
------ = ----------
AC 2x+1
8 x+4
------ = ----------
12 2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
Divide by 4
4x/4 =40/4
x = 10
Answer:
135 degrees
Step-by-step explanation:
Josh had zero melons because he never got any .