Answer:
5/6
Step-by-step explanation:
I used my graphing calculator, but you can use the equation y-y/x-x.
Answer:
Die is not fair given that Pvalue< 0.05, hence we reject Null hypothesis
a) H0: Die = fair
b) Ha : Die ≠ fair
c) df = 5
Step-by-step explanation:
The expected frequency of every face values = 20
a) state Null hypothesis
H0: Die = fair
b) Alternate Hypothesis
Ha : Die ≠ fair
c) degree of freedom
df = ( n - 1 )
= ( 6 - 1 ) = 5
n = sample size ( number of faces a die has )
Note : After conducting hypothesis test
Pvalue ≈ 0.0026
test statistic ≈ 18.30
Hence we can conclude that die is not fair given that Pvalue < 0.05, hence we reject Null hypothesis
Answer:
12
Step-by-step explanation:
Given :
Male Female Total
Registered 60
Non registered 40
Total 20 80
Solution :
N= 100
Formula of expected frequency = 
= expected frequency for the ith row/jth columm.
= total in the ith row
= total in the jth column
N = table grand total.
So, using formula 









![E_{22]=\frac{80 \times 40}{100}](https://tex.z-dn.net/?f=E_%7B22%5D%3D%5Cfrac%7B80%20%5Ctimes%2040%7D%7B100%7D)

Expected frequency table
Male Female Total
Registered 12 48 60
Non registered 8 32 40
Total 20 80
So, the expected frequency for males who are registered voters are 
Answer: -55
Step-by-step explanation: 8/-2 to get -4, then multiply by 4^2 or 16 to get -64, finally add 9 to get -55.
Answer:
162
Step-by-step explanation:
6*7= 42. 42*2 = 84.
6*3=18. 18*2 = 36
7*3=21. 21*2 = 42.
84+36+42= 162