Question

A survey of undergraduate college students at a small university was recently done by an administrator in charge of residential life services. A random sample of 300 students was selected from each class level (freshman, sophomore, junior, senior). Each student was asked to complete and return a short questionnaire on quality of campus residence. Some students returned the questionnaire, and some didn't. This is summarized in the table below:

Class	Returned	Not response	Total
Freshman	110	190	300
Sophomore	130	170	300
Junior	170	130	300
Senior	160	140	300

What percentage of seniors returned the questionnaire? a. 53%b. 47.5% c. 28% d. 25%

Of those that returned the survey, what percentage were seniors? a. 53%b. 47.5%c. 28%d. 13%

Which of the following conclusions seems to be supported by the data? a. Juniors and seniors appear to be more likely to return the survey than freshmen and sophomores. b. Juniors and seniors are happier with the quality of campus residences than freshmen and sophomores. c. Students that did not return the questionnaire are unhappy with the quality of campus residences. d. The percentage of students returning the questionnaire is the same for each class.

Answer 1

Class	Returned	Not Ret	Total
F	110	190	300
Sophomore	130	170	300
J	170	130	300
Senior	160	140	300
Total	570	630	1200

What percentage of seniors returned the questionnaire?

We want to know out of the seniors, proportion who responded

= No. of seniors responded / Total seniors

= 160 / 300

= 0.53 = 53%

a. 53%

Of those that returned the survey, what percentage were seniors?

Over here we want to know out the one who responded, proportions of the seniors

= No . seniors responded / Total responses

= 160 / 570

= 0.28

c. 28%

Which of the following conclusions seems to be supported by the data?

a. Juniors and seniors appear to be more likely to return the survey than freshmen and sophomores.

looking at the data, there are same number of students in all classes. So only based on responses we can see the juniors and seniors responded more than freshman and sophomore.

b. Juniors and seniors are happier with the quality of campus residences than freshmen and sophomores.

The response rate is more juniors and seniors but that doesn't testify that they are happy because the scenarios can be that many most responses of juniors and seniors were to not like the quality whereas most responses of freshman and sophomore was to like the quality.

c. Students that did not return the questionnaire are unhappy with the quality of campus residences.

The response rate is more juniors and seniors but that doesn't testify that they are happy because the scenarios can be that many most responses of juniors and seniors were to not like the quality whereas most responses of freshman and sophomore was to like the quality.

d. The percentage of students returning the questionnaire is the same for each class.

Clearing can be seen that same number of total students still differences in rate of responses so this statement is false.