2. A sample of 400 students at a certain university was taken after the midterm;

Question

2. A sample of 400 students at a certain university was taken after the midterm; 200 certain uni staying up all night before the midterm and the other 200 not. Researchers recorded whether each student did well or poorly on e midterm. The following table contains the results. (15%) Did Well on Did Poorly on Midterm Midterm 60 120 Stayed up all night 140 80 Did not stay up all night Of those who did not stayed up all night before the midterm, what percentage did a. well on the midterm? Of those who did well on the midterm, what percentage did not stay up all night before the midterm? Briefly explain (using percentages) whether staying up all night before this midterm is related to a student doing poorly. b. c.

Explanation / Answer

a) Didnt stay up all night = 200

So,

% = 120/200 = 0.6

b) Did well on mid term = 120 + 60 = 180

% = 120/180 = 0.67

c) People who stayed up and did poorly = 140/200 = 70%

People who didnot stay up and did well = 120/180 = 67%

So, we can see if people stayed all night, they didnt do well in mid term as people who didnt stay up all night.

Infact, % when people did poor when didnt stay up = 80/200 = 40% ) lesser than 70% when People who stayed up and did poorly.

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