In: Statistics and Probability
**Data retrieved from Center for Disease Control (April 22, 2020)**
| 
 Observed Frequencies  | 
|
| 
 Wyoming  | 
 430  | 
| 
 N. Dakota  | 
 627  | 
| 
 Nebraska  | 
 1648  | 
| 
 S. Dakota  | 
 1675  | 
Null hypothesis : The 4 states have equal proportion of cases
Alternate hypothesis: At least one state have different proportion
alpha = 0.05
| Event | Observed Frequency(O) | Expected Probability | Expected Frequency ( E) | ( O-E)^2 | ( O-E)^2/E | 
| Wyoming | 430 | 0.25 | 1095 | 442225 | 403.8584475 | 
| N. Dakota | 627 | 0.25 | 1095 | 219024 | 200.0219178 | 
| Nebraska | 1648 | 0.25 | 1095 | 305809 | 279.2776256 | 
| S. Dakota | 1675 | 0.25 | 1095 | 336400 | 307.2146119 | 
| Total | 4380 | 1 | 4380 | 1303458 | 1190.372603 | 
The chi square statistic = 1190.372
The corresponding p value is 0.00000
Since p < alpha ( 0.05 )
We reject the null hypothesis
or, At least one state have different proportion