HIHO Ltd. specializes in guided walking holidays based around its own holiday hotels in the UK. The company provides two types of holiday: Just Walking (JW) and Walking Plus Adventure (WPA). Last summer at one of the HIHO hotels the local manager wished to investigate whether there was any relationship between the two types of holiday and the customers' age. She estimated the age of a random sample of 300 customers during August with the following result:
? There were 200 on JW holidays, with 50 in each of the four age categories: ‘under 30', ‘30 - 44', ‘45 - 59' and ‘60 + ' Of the WPAs, 49 were ‘under 30', 22 were ‘45 - 59' and seven were over 60 years of age.
a. Construct a suitable cross-tabulation table, including row and column totals and the overall total.
b. Apply a Chi-square test to the data to establish whether or not age and type of holiday chosen are linked.
c. If there is an a significant association, in what way is age and type of holiday related?