Subjects statistics

Boat Jet Ski Correlation 65Adc6

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1. **State the problem:** We want to determine the correlation suggested by the two-way table between owning a boat and having a jet ski. 2. **Understand the data:** The table shows counts of people with combinations of owning a boat and having a jet ski. 3. **Calculate proportions:** - Among those who have a boat (58 people), the number who have a jet ski is 36. - Proportion with jet ski given boat: $\frac{36}{58} \approx 0.62$ (62%). - Among those who do not have a boat (42 people), the number who have a jet ski is 28. - Proportion with jet ski given no boat: $\frac{28}{42} \approx 0.67$ (67%). 4. **Interpretation:** - The proportion of people with a jet ski is slightly higher among those without a boat (67%) than those with a boat (62%). - This suggests that having a boat does not strongly correlate with having a jet ski. 5. **Check the other option:** - Among those who do not have a boat, 14 out of 42 do not have a jet ski (33%). - Among those who have a boat, 22 out of 58 do not have a jet ski (38%). - So, those without a boat are more likely to have a jet ski than not. 6. **Conclusion:** None of the options A, B, or D correctly describe the correlation. **Final answer:** C. None of the correlations listed are correct.