Answer :
Final answer:
The point estimate for the proportion of all entering freshmen who scored less than 580 on the math SAT, given the data in the question, is approximately 0.339 or 33.9%.
Explanation:
The subject matter of this question is probability and statistics, specifically pertaining to SAT scores. Given the data in the question, we are asked to provide a point estimate for the proportion of all entering freshmen at this college who scored less than 580 on the math SAT.
A point estimate is a type of estimation that uses single data point to infer population parameters. We can calculate this point estimate using the formula:
Point Estimate = X / n
Where X represents the number of successes (i.e., students who scored less than 580), and n represents the total sample size.
In this case, X = 41 (the number of students who scored less than 580) and n = 121 (the total number of students).
By substituting these values into our formula, the calculation is as follows:
Point Estimate = 41 / 121 ≈ 0.339
Thus, our point estimate for the proportion of entering freshmen who scored less than 580 on the math SAT is approximately 0.339 or 33.9%.
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