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Mathematics, 27.05.2021 14:00 milkshakegrande101

Could the number of cars owned be related to whether an individual has children? In a local town, a simple random sample of 200 residents was selected. Data was collected on each individual on how many cars they own and whether they have children. The data was then presented in the frequency table: Number of Vehicles Do you have children Total
No Yes
Zero 24 50 74
One 27 25 52
Two or more 57 17 74
Total 108 92 200
Part A: What proportion of residents in the study have children and own at least one car? Also, what proportion of residents in the study do not have children and own at least one car? (2 points)

Part B: Explain the association between the number of cars and whether they have children for the 200 residents. Use the data presented in the table and proportion calculations to justify your answer. (4 points)

Part C: Perform a chi-square test for the hypotheses.

H0: The number of cars owned by residents of a local town and whether they have children have no association.
Ha: The number of cars owned by residents of a local town and whether they have children have an association.

What can you conclude based on the p-value? (4 points)

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