<span>A translation is simply a "moving" when it comes to a point. In this case, by adding (-2, 7) to the point P, we will find point Q. That is, x-2 gives Q's x-coordinate of 4 and y+7 gives Q's y-coordinate of -1. To start, x-2 = 4 gives an x of -6, and y+7 = -1 gives a y of -8. So, the original point P was located at (-6,-8).</span>
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.
Answer: A
Step-by-step explanation: sorry hope that right
Answer:
156/12=13
so makes 13 dollars a hour
Hope This Helps!!!
Answer:
A. Reject H0 because the P-value is less than or equal to α.
Step-by-step explanation:
Decision:
If the pvalue of the test is less than the significance level, we reject the null hypothesis H0.
Otherwise, we fail to reject the null hypothesis H0.
In this question:
Significance level: 0.01
P-value: 0.0087
0.0087 < 0.01, so we reject H0.
The correct answer is given by option A.