7.39 Variation in Sample Proportions (Example 70) Suppose it is known that 20% of students at a certain college participate in a textbook recycling program each semester. a. If a random sample of 50 students is selected, do we expect that exactly 20% of the sample participates in the textbook recycling program? Why or why not? b. Suppose we take a sample of 500 students and find the sample proportion participating in the recycling program. Which sample proportion do you think is more likely to be closer to 20%: the proportion from a sample size of 50 or the proportion from a sample size of 500? Explain your reasoning.

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7.39 only
7.38
7.39
7.40
C
T
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
Far from Fair Which of the graphs in Exercise 7.37 is centered farthest from 0.50?
Variation in Sample Proportions (Example 7) Suppose it is known that 20% of
students at a certain college participate in a textbook recycling program each semester.
a. If a random sample of 50 students is selected, do we expect that exactly 20% of
the sample participates in the textbook recycling program? Why or why not?
b. Suppose we take a sample of 500 students and find the sample proportion
participating in the recycling program. Which sample proportion do think is
you
more likely to be closer to 20%: the proportion from a sample size of 50 or the
proportion from a sample size of 500? Explain your reasoning.
Variation in Sample Proportions Suppose it is known that 60% of employees at a
company use a Flexible Spending Account (FSA) benefit.
a. If a random sample of 200 employees is selected, do we expect that exactly 60%
of the sample uses an FSA? Why or why not?
JUL
22
A
370
Aa
W
Transcribed Image Text:7.38 7.39 7.40 C T 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Far from Fair Which of the graphs in Exercise 7.37 is centered farthest from 0.50? Variation in Sample Proportions (Example 7) Suppose it is known that 20% of students at a certain college participate in a textbook recycling program each semester. a. If a random sample of 50 students is selected, do we expect that exactly 20% of the sample participates in the textbook recycling program? Why or why not? b. Suppose we take a sample of 500 students and find the sample proportion participating in the recycling program. Which sample proportion do think is you more likely to be closer to 20%: the proportion from a sample size of 50 or the proportion from a sample size of 500? Explain your reasoning. Variation in Sample Proportions Suppose it is known that 60% of employees at a company use a Flexible Spending Account (FSA) benefit. a. If a random sample of 200 employees is selected, do we expect that exactly 60% of the sample uses an FSA? Why or why not? JUL 22 A 370 Aa W
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