Answer:
The test statistics is 
The critical value is 
The null hypothesis is rejected
Step-by-step explanation:
From the question we are told that
The sample size for men is 
The sample proportion of men that own a cat is 
The sample size for women is 
The sample proportion of women that own a cat is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistic is mathematically represented as

=> 
=> 
The critical value of
from the normal distribution table is

The p-value is obtained from the z-table ,the value is

=> 
Given that the
then we reject the null hypothesis
X= -28
-2.5(-28) = 70
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Answer:
<h2>V=1/3 pie r^2h (Formula)</h2><h2>12×22/7=1/3×22/7×3^2×h</h2><h2>Eliminate 22/7</h2><h2>12=(9×h)/3</h2><h2>Make "h" the subject of the equation </h2><h2>h=36/9</h2><h2>h=4m</h2>
Part 1.
A. x=0 can be used for function that have x≤1, so f(x) =x²
B.You need substitute x by 0. x=0,
then
f(0) = 1) x² =0² =
0 x≤1 Part 2.
A. f(x) =x², Graph is attached.
B. f(x) =2x+1, Graph is attached.
C. The functions will change in the point x=1
For f(x) =x² , x ≤1 ; f(1) = 1. The point (1,1) is included, the dot should be filled (closed).
For the function f(x)=2x+1, x>1. The point f(1)=3 is not included, the dot should be empty(open).
D. Point(1,1) is closed(filled circle), point (1,3) is open(empty circle).