Question

Sampling Variability in the Sample Proportion Quick Check
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Question
Use the table to answer the question.

This table shows the summary of student samples and number who walk to school.
Sample Students in the Sample Number Who Walk to School
1 25 6
2 25 8
3 25 7
4 25 2
5 25 5
For a class project, you take five different samples of students and ask them whether they walk to school. The data is consolidated in the preceding table. Which of the following correctly shows the variability in the sample proportions (p^)
?(1 point)
Responses

This table shows the summary of student samples and number who walk to school.
Sample Students in the Sample Number Who Walk to School (p^)

1 25 6 0.12
2 25 8 0.16
3 25 7 0.14
4 25 2 0.04
5 25 5 0.10
Table with 4 columns and 6 rows.Row 1: Column 1, 'Sample'; Column 2, 'Students in the Sample'; Column 3, 'Number Who Walk to School'; Column 4, ' (p^)
' Row 2: Column 1, '1'; Column 2, '25'; Column 3, '6'; Column 4, '0.12' Row 3: Column 1, '2'; Column 2, '25'; Column 3, '8'; Column 4, '0.16' Row 4: Column 1, '3'; Column 2, '25'; Column 3, '7'; Column 4, '0.14' Row 5: Column 1, '4'; Column 2, '25'; Column 3, '2'; Column 4, '0.04' Row 6: Column 1, '5'; Column 2, '25'; Column 3, '5'; Column 4, '0.10'

This table shows the summary of student samples and number who walk to school.
Sample Students in the Sample Number Who Walk to School (p^)

1 25 6 0.18
2 25 8 0.24
3 25 7 0.21
4 25 2 0.06
5 25 5 0.20
Table with 4 columns and 6 rows.Row 1: Column 1, 'Sample'; Column 2, 'Students in the Sample'; Column 3, 'Number Who Walk to School'; Column 4, ' (p^)
' Row 2: Column 1, '1'; Column 2, '25'; Column 3, '6'; Column 4, '0.18' Row 3: Column 1, '2'; Column 2, '25'; Column 3, '8'; Column 4, '0.24' Row 4: Column 1, '3'; Column 2, '25'; Column 3, '7'; Column 4, '0.21' Row 5: Column 1, '4'; Column 2, '25'; Column 3, '2'; Column 4, '0.06' Row 6: Column 1, '5'; Column 2, '25'; Column 3, '5'; Column 4, '0.20'

This table shows the summary of student samples and number who walk to school.
Sample Students in the Sample Number Who Walk to School (p^)

1 25 6 0.24
2 25 8 0.32
3 25 7 0.28
4 25 2 0.08
5 25 5 0.20
Table with 4 columns and 6 rows.Row 1: Column 1, 'Sample'; Column 2, 'Students in the Sample'; Column 3, 'Number Who Walk to School'; Column 4, ' (p^)
' Row 2: Column 1, '1'; Column 2, '25'; Column 3, '6'; Column 4, '0.24' Row 3: Column 1, '2'; Column 2, '25'; Column 3, '8'; Column 4, '0.32' Row 4: Column 1, '3'; Column 2, '25'; Column 3, '7'; Column 4, '0.28' Row 5: Column 1, '4'; Column 2, '25'; Column 3, '2'; Column 4, '0.08' Row 6: Column 1, '5'; Column 2, '25'; Column 3, '5'; Column 4, '0.20'

This table shows the summary of student samples and number who walk to school.
Sample Students in the Sample Number Who Walk to School (p^)

1 25 6 0.06
2 25 8 0.08
3 25 7 0.07
4 25 2 0.02
5 25 5 0.05
Table with 4 columns and 6 rows.Row 1: Column 1, 'Sample'; Column 2, 'Students in the Sample'; Column 3, 'Number Who Walk to School'; Column 4, ' (p^)
' Row 2: Column 1, '1'; Column 2, '25'; Column 3, '6'; Column 4, '0.06' Row 3: Column 1, '2'; Column 2, '25'; Column 3, '8'; Column 4, '0.08' Row 4: Column 1, '3'; Column 2, '25'; Column 3, '7'; Column 4, '0.07' Row 5: Column 1, '4'; Column 2, '25'; Column 3, '2'; Column 4, '0.02' Row 6: Column 1, '5'; Column 2, '25'; Column 3, '5'; Column 4, '0.05'
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Answer 1

The correct proportions are number/25:

- Sample 1: 6/25 = 0.24
- Sample 2: 8/25 = 0.32
- Sample 3: 7/25 = 0.28
- Sample 4: 2/25 = 0.08
- Sample 5: 5/25 = 0.20

So choose the third option (0.24, 0.32, 0.28, 0.08, 0.20).