A random survey of autos parked in the student lot and the staff lot at a large

Question

A random survey of autos parked in the student lot and the staff lot at a large university classified the brands by county of origin, as seen in the accompanying table. Are there differences in the national origins of cars driven by students and staff? Complete parts a) through a) below Click the icon to view the contingency table for driver and brand country of origi b) Write appropriate hypotheses. Choose the correct answer below O A. Ho: Car Origin and Driver are independent. O B. Ho. The distribution of Car Origin is the same for students and staff O C. Ho: The distribution of Car Origin is different for students and staff () D. Ho. Car Origin and Driver are not independent. Driver vs. Origin HA Car Origin and Driver are not independent. HA The distribution of Car Origin is different for students and staf HA The distribution of Car Origin is the same for students and staf HA Car Origin and Driver are independent. Student Staff 10 10 45 108 Country B Country C 57 PrintDone c) Check the necessary assumptions and conditions. Are all the necessary conditions satisfied? Select all that apply A. Yes, all the necessary conditions are definitely satisfied. | | B. No, the independence Assumption is definitely not satisfied. C. No, the Counted Data Condition is not satisfied D. E. No, the Expected Cell Frequency Condition is not satisfied No, the 10% Condition is not satisfied. F. No, it is impossible to determine whether the Independence Assumption is satisfied. d) Find the P-value of the test P-value = Round to three decimal places as needed.) e) State a proper conclusion with analysis. Choose the correct answer below. O A. Reject Ho at = 0 05. Car Origin and Drier are not independent It looks like students are more likely to drive Country B's cars and less likely to drive Country A's cars than staff B. Reject Ho at 0.05. The distribution of car origins differs between students and staff. It looks like students are more likely to dm e Country B's cars and less likely to drive Country As cars tan staff. o c. Fail to reject Ho at -0.05. Car Origin and Driver appear to be independent. O D. Fail to reject Ho at = 0 05 The distribution of car origins does not appear to be different between students and staff

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var8
Columns: None

Chi-Square test:

Hence,

P - value = 0.009

Conclusion: Option A is correct.

Student Staff Total Country A 108 103 211 Country B 33 10 43 Country C 57 45 102 Total 198 158 356

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