In: Statistics and Probability
A survey of voter sentiment was conducted in four mid-city political wards to compare the fraction of voters favoring candidate A. Random samples of 200 voters were polled in each of the four wards with results as shown.
| 
 Ward 1  | 
 Ward 2  | 
 Ward 3  | 
 Ward 4  | 
 Totals  | 
|
| 
 Favor A  | 
 76  | 
 53  | 
 59  | 
 48  | 
 236  | 
| 
 Not Favoring A  | 
 124  | 
 147  | 
 141  | 
 152  | 
 564  | 
| 
 Totals  | 
 200  | 
 200  | 
 200  | 
 200  | 
 800  | 
Does the data present sufficient evidence to indicate that the fractions of voters favoring candidate A differ in the four wards? (Test the hypothesis of independence of the two classifications using α = 0.05).
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