Calculus and Above

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1. Let’s assume that the age...

1. Let’s assume that the age factor for the class was collected from randomly selected students taking Elements of Statistics from college—even though we know the data was not truly randomly collected but come from a convience sample.

a. First, determine from this sample data the proportion (percentage) of students whose reported age is over 35 years.

b. Explain why it would be wrong to use the proportion calculated above, even if the data came from a random sample, as the proportion value for ALL college Element of Statistics students over 35 years old.

c. Next, based upon a 95% level of confidence, determine the margin of error in estimating the true population proportion of college Element of Statistics students age 35 or older. Give this margin of error value below.

d. Next use your margin of error value to produce the 95% confidence interval for the population proportion as predicted from the sample results. State this interval below within an interpretive sentence tied to the given context.

Age

26

24

39

25

44

30

28

21

26

37

33

26

25

25

28

24

28

19

21

39

26

23

47

24

29

28

26

48

33

25

24

34

29

30

38

25

27

24

29

25

25

40

33

46

28

a. First, determine from this sample data the proportion (percentage) of students whose reported age is over 35 years.

b. Explain why it would be wrong to use the proportion calculated above, even if the data came from a random sample, as the proportion value for ALL college Element of Statistics students over 35 years old.

c. Next, based upon a 95% level of confidence, determine the margin of error in estimating the true population proportion of college Element of Statistics students age 35 or older. Give this margin of error value below.

d. Next use your margin of error value to produce the 95% confidence interval for the population proportion as predicted from the sample results. State this interval below within an interpretive sentence tied to the given context.

Age

26

24

39

25

44

30

28

21

26

37

33

26

25

25

28

24

28

19

21

39

26

23

47

24

29

28

26

48

33

25

24

34

29

30

38

25

27

24

29

25

25

40

33

46

28

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