Solution :
In this case we have to use 
for the goodness of fit.
Null hypothesis is : 
Data follows the given distribution
Alternate hypothesis is : 
Data do not follow the given distribution
The level of significance, 
The test statistics is given by :
Chi square = 
Here O is the observed frequencies
E is the expected frequencies
So we have, N = number of the categories = 4
df = degrees o freedom = N - 1
= 4 - 1 = 3
Critical value = 
Calculating the table for the test statistics are given as :
Category prop. O E 
A 0.2 14 20 1.80
C 0.3 28 30 0.13
M 0.1 6 10 1.60
P 0.4 52 40 3.60
Total 1 100 100 7.13
The test statics = chi square = = 7.13
statistics = 7.13
P-value = 0.067767248
P -value >
Therefore, we do not reject the 
. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.
Answer:
If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n = 1. Dilating an image with a dilation factor of 1 will result to the same image and that ensures the congruency between the pre-image and the dilated image.
Step-by-step explanation:
Answer:
Exact Form:
x= -1, -3/5
Decimal Form:
x=-1, -0.6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable
Answer:
Surface Area of the Cylinder is 1156.11
Step-by-step explanation:
To find the Surface Area of a Cylinder, the equation given is A = 2πrh+2πr2
Given the radius and height of the cylinder, we plug those numbers into the equation to get;
A = 2π(8)(15)+2π(8)2
= 1156.11
Answer:
(p / q^2 √r)
Just make x, y, z into p, q, r.
Very simple!
