To calculate the sample proportions (\( \hat{p} \)) for each sample, we use the formula:
\[ \hat{p} = \frac{\text{Number Who Walk to School}}{\text{Students in the Sample}} \]
Using the data from your table:
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For Sample 1: \(\hat{p} = \frac{6}{25} = 0.24\)
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For Sample 2: \(\hat{p} = \frac{8}{25} = 0.32\)
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For Sample 3: \(\hat{p} = \frac{7}{25} = 0.28\)
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For Sample 4: \(\hat{p} = \frac{2}{25} = 0.08\)
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For Sample 5: \(\hat{p} = \frac{5}{25} = 0.20\)
Based on these calculations, the correct table showing the calculated sample proportions is:
| Sample | Students in the Sample | Number Who Walk to School | \( \hat{p} \) | |--------|-----------------------|---------------------------|----------------| | 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 |
None of the provided tables seem to have been calculated correctly. Thus, you might want to correct the proportions to reflect the calculated values as follows:
- Sample 1: \(0.24\),
- Sample 2: \(0.32\),
- Sample 3: \(0.28\),
- Sample 4: \(0.08\),
- Sample 5: \(0.20\).
None of the options above match these correct calculations.