Last year, 500 students in England entered a poetry competition. Eighty of the entries were published in a book. Each student was required to state which region of England they lived in: north, south, east or west. 140 students indicated they were from the north, 120 from the south and 90 from the east. 15% of students from the north had their poems published, 10% from the south were published and 20% from the east were published.

a. Complete the following contingency table.

b. Test, at the 5% significance level, whether there is an association between being published and the region in which the students lived.

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W Total Selected 21 Rejected Total 140 500