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Researchers, hoping to determine the percentage of Santa Fe college students who

ID: 3329113 • Letter: R

Question

Researchers, hoping to determine the percentage of Santa Fe college students who believe in ghosts, went to Santa Fe College to conduct a survey. Random samples of 20 students were taken from each major field of study (ie 20 Mathematics majors, 20 English majors, …) and were asked whether or not they believed in ghosts. Identify the following:

a. The population

b. The population parameter of interest

c. The sample

d. The sampling method (SRS, stratified, cluster, or systematic)

e. Any potential sources of bias you can detect and any problems you see in generalizing to the population of interest

Explanation / Answer

a) Population: All students of Santa Fe college

b) Population parameter of interest: Proportion of students who believe in ghosts

c) Sample: The students selected from each major field of study

d) Sampling Method: Stratified Sample

e) Potential source of Bias: The students should be selected propotionately rather than selecting 20 students from each major. It can be the case that there are only 22 students in English Major while 60 students in Mathematics major. In that case, the sampling might not depict a true picture.

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