A University has 30,600 students think school counselor estimates that 2% of the students break three on my languages in a random sample of 240 students, 20 speak three or more languages. Determine whether the counselors estimate is likely to be accurate.

Question

Lennon Mcintosh

Mathematics

15 June, 18:51

A University has 30,600 students think school counselor estimates that 2% of the students break three on my languages in a random sample of 240 students, 20 speak three or more languages. Determine whether the counselors estimate is likely to be accurate.

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Answers (1)

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Damon Williamson · Answer 1

Counselor's estimate isn't correct.

Step-by-step explanation:

Total number of students in university = 30,600

2% break 3 of the languages

Therefore, 2/100 * 30600 = 612 students break 3 of the languages in the University according to the counselor.

In a random sample of 240 students, 20 break 3 of the languages.

% = 20/240 * 100 = 8.33%

SinceTotal number of students = 30,600

Therefore, 30,600/240 = 127.5

Which means 127.5 * 20 = 2550.

Which means 2550 students break 3 of the languages as against the 612 students stated by the counselor.