Lincoln High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.
Which of the following surveys probably would best represent the entire population of seniors?
A) 20 glee club memories are randomly selected; 18 plan to go to a 4-year college.
B) 20 seniors are selected; 13 plan to go to a 4-year college.
C) 20 honor roll students are randomly selected from the senior class; 17 plan to go to a 4-year college.
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There are 400 seniors at Lincoln High.
Using your answer from part (a), estimate the number of seniors who plan to go to a 4-year college.
Based on the information provided, option C) 20 honor roll students randomly selected from the senior class, 17 plan to go to a 4-year college, would best represent the entire population of seniors.
To estimate the number of seniors who plan to go to a 4-year college, we can set up a proportion using the information from option C.
If 17 out of 20 honor roll students plan to go to a 4-year college, then we can set up the following proportion:
17/20 = x/400
Cross-multiplying, we get:
20x = 17 * 400
Simplifying:
20x = 6800
Dividing both sides by 20:
x = 6800 / 20
x = 340
Therefore, based on the given information, we can estimate that 340 seniors at Lincoln High plan to go to a 4-year college.