Question 5

To test for a relationship between gender and souvenir shopping, a survey of more than 2,000 tourists was conducted. One question asked how often a tourist purchases photographs, postcards, or paintings of theregion visited. Responses were recorded as "always", "often", "occasionally", or "rarely or never". The tableshows the number of tourists responding in each category by gender.

Always Often Occasionally Rarely or never

a) Give the marginal distribution of responses.

Male Female 275 445 420 500 390 425 305 230

b) Give the conditional distribution of responses for each gender. Do you think there is a relationship between gender and souvenir purchase frequency?

c) What percentage of tourists rarely or never purchasing souvenirs is female?

d) What percentage of female tourists rarely or never purchase souvenirs?

e) Test for a relationship between gender and souvenir purchase frequency at a significance level of 0.1.