The author surveyed one of his statistics classes, asking students whether they thought it was more important to improve college students€™ success rates or to address climate change. The students€™ responses are shown in Table 9. The survey was anonymous, so the names in the table are fictional.

a. Use technology with seed 291 to randomly select 7 students without replacement.
b. For the simple random sample you selected in part (a), find the proportion of students who think it is more important to improve student success. Write your result as a fraction.
c. For all 14 student responses shown in Table 9, find the proportion of students who think it is more important to improve student success. Write your result as a fraction.
d. Does your result from part (b) equal your result from part (c)? If no, is that due to sampling or nonsampling error?
e. If you were to select many simple random samples of size 7, would the proportion of students who think it is more important to improve student success for each sample equal the proportion of all 14 students who think it is more important to improve student success? If no, is that due to sampling or nonsampling error?

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Table 9 Students' Priority of Success versus Climate Change Student Student Response Success Success Climate Success Success Success Climate Response Climate Climate Success Success Success Success Climate 8. Luis 1. Aksana 2. Patricia 3. Devin 4. Julia 5. Gauri 6. Fiona 7. Fadi 9. Jessica 10. Chris 11. Jose 12. Fan 13. Xiaowan 14. Dimitrios