Answer:
0.2454 ≤ x ≤ 0.2852
Explanation:
Given the following parameters:
Number of students = 410
Number of students that own their cars = 130
Hence we have Proportion of those who own a car (P) = 130/490 = 0.2653
Thereby, at 95% confidence, Z = 1.96
Sample size is represented as N = 490
Confidence interval = P+/- Z * Sqrt (P (1-P) / N)
=> 0.2653 +/- 1.96 * Sqrt (0.265 (1-0.265) / 490)
=> 0.2653 +/- 0.0199
Therefore, for any randomly selected student (y), the probability that he/she owns a car is;
0.2454 ≤ x ≤ 0.2852
