Confidence Interval The registrar\'s office has noticed that a large number of s

Question

Confidence Interval

The registrar's office has noticed that a large number of students fail to report a change of address. The registrar took a random sample of 150 students from the current directory of students and determines the number of students with the correct addresses on record. He then uses this information to constructs a 95 percent confidence interval. Which of the following statements must be true? The true proportion of students at this university with the correct address on record is within the confidence interval constructed. 95% of students at this university have the correct address record. The true proportion of students at this university with the correct address on record is within the confidence interval 95% of the time. The sample proportion of students at this university with the correct address on record is within the confidence interval 95% of the time. The sample proportion of students at this university with the correct address on record is within the confidence i

Explanation / Answer

ans is option E

given that The registrar took a random sample of 150 students from the currrent directory of students and determines the number of students with the correct adresses on record

let us denote true population = P

SAMPLE PROPORTION = P1

WE KNOW FORMULEA

C.I = P1+M.E

P1 sample proportion excatly suits option e

so by this option e is true

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