a poll is conducted to determine who is most likely to win the election for town mayor. two random samples of 500 residents each are polled. The data is as follows
________________________
] candidate A ] candidate B]
----]-----------------]----------------]
S1] 346 ] 154 ]
----]-----------------]----------------]
S2] 248 ] 252 ]
----]-----------------]----------------]
What percentage of the total polled residents would vote for candidate A as the town mayor?
To find the percentage of residents who would vote for candidate A, we need to add up the number of residents in each sample who would vote for candidate A and divide it by the total number of residents polled.
For sample 1:
Number of residents voting for candidate A = 346
Number of residents voting for candidate B = 154
Total residents = 500
Percentage of residents voting for candidate A in Sample 1 = (346/500) * 100 = 69.2%
For sample 2:
Number of residents voting for candidate A = 248
Number of residents voting for candidate B = 252
Total residents = 500
Percentage of residents voting for candidate A in Sample 2 = (248/500) * 100 = 49.6%
To find the overall percentage of residents voting for candidate A, we can average the two percentages:
(69.2% + 49.6%)/2 = 59.4%
Therefore, 59.4% of the total polled residents would vote for candidate A as the town mayor.