Answer:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
Step-by-step explanation:
A hypothesis test for two proportions can be used to determine whether the preference of men differ from women in case of voting.
A Chi-square test contingency table can be used to perform the test.
The hypothesis can be defined as:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
The test statistic is:

Decision rule:
If the <em>p</em>-value of the Chi-square test statistic is less than the significance level <em>α</em> = 0.05 then the null hypothesis will be rejected. And if the <em>p</em>-value is more than the significance level then the null hypothesis will not be rejected.
Answer:
Part 1) 
Part 2) The graph in the attached figure
Step-by-step explanation:
Part 1)
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute in the linear equation

solve for b

substitute

Part 2) Draw the equation
we know that
To graph a line we need two points
we have the y-intercept (0,4) and (2,-4)
Plot the points, connect them and join to draw the line
see the attached figure
Given :
A function f(x) for different range of x.
To Find :
The value of f( -3 ) .
Solution :
We have to find the value of function at x = -3.
Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

So, putting value of x = -3 in above equation, we get :

Hence, this is the required solution.
Answer:
A). 50 penny
B) This type of battery is cost effective.
Step-by-step explanation:
A) A pack of 8 batteries cost 3.99 pounds so one battery will cost = 3.99/8 = 0.499 pound
Since 1 pound = 100 penny
So 0.499 pound = 100×0.499 = 50 penny
B). A pack of 6 batteries of the same type costs 2.79 pounds
So one battery will cost = 2.79/6 = 0.465 pound or 47 penny
Now we say that type A batteries are costlier than B. Therefore B type batteries are of a better value.
Answer:
Answer is 18.8 please mark me Brainliest
Step-by-step explanation: