The Beeville City Council surveyed 500 Beeville citizens. Of those surveyed, 350 citizens named summer as their favorite season. Based on the survey results, how many of the 36,500 Beeville citizens would most likely name summer as their favorite season?
a)27,000
b)25,550
c)18,000
d)10,950
b)25,550.
To find out, we can set up a proportion. Let x be the number of Beeville citizens who would name summer as their favorite season out of 36,500 total citizens:
350/500 = x/36,500
Cross-multiplying, we get:
500x = 12,275,000
Dividing both sides by 500, we get:
x = 25,550
To find out the estimated number of Beeville citizens who would most likely name summer as their favorite season, we first need to calculate the ratio of surveyed citizens to the total population.
Ratio = (Number of surveyed citizens) / (Total population) = 350 / 500 = 0.7
Next, we can apply this ratio to the total population to find the estimated number of citizens who would name summer as their favorite season.
Estimated number of citizens = (Ratio) * (Total population) = 0.7 * 36,500 = 25,550
Therefore, the most likely number of Beeville citizens who would name summer as their favorite season is 25,550.
The correct answer is b) 25,550.