Question

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?

Answer 1

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.