can you explain this

part A: box 1 narrower or wider

box 2: sample or retention rate

box 3: larger or smaller

box 4: sample or retention rate

box 5: closer to .5 or further from .5

part b: box 1 smaller or larger

box 2 retention rate or sample

box 3: retention rate or sample

In 2004 it was reported that 73% of 1632 randomly selected college freshman returned to college the next year. The study was stratied by type of collegepublic or private. The retention rates were 70.2% among 515 students enrolled in public colleges and 74.2% among 1117 students enrolled in private colleges. Complete parts a and b below. a) Will the 95% condence interval for the true national retention rate in private colleges be wider or narrower than the 95% condence interval for the retention rate in public colleges? Explain. The 95% condence intenral for the true national retention rate in private colleges will be V colleges is V than the one for public colleges, and because the V for private colleges is V than the 95% condence interval for the retention rate in public colleges because the than the one for public colleges. b) Do you expect the margin of error for the overall retention rate to be larger or smaller than the margin of error for the retention rate in public colleges? Explain. The margin of error for the overall retention rate is expected to be Y since the overall E is bigger and since the overall : is closer to 0.5. fo r p rivate