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


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.
Answer:
14
Step-by-step explanation:
Find the mode by simply seeing which value appears the most. 14 appears twice whereas all the other numbers appear once.
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➷ (12/20) = 0.6
(8/20) = 0.4
The experimental probability of the coin landing heads up is 0.6.
B) The theoretical would be considering it a fair coin.
1/2 = 0.5
The theoretical probability would be 0.5
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Given: Different equations
To Determine: Which would be best solved using difference of two squares
Solution
The factorization of a difference of two squares is given below

Let us examine each of the given equation




From the above,

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square
x² - 25 = 0
A triangle's angles will always equal up to 180. Since you already have to of the angles, you will add them up together. 30+20=50. Then, you take 180 and subtract it by the sum of the two previous angles. 180-50=130. Now you know the last angle is 130. You also know that the missing angle is also 130. The reason for that is because the two angles are the exact same if you look at it.