Question

a random sample of residents are chosen from each of the 4 Atlantic provinces each resident is asaked which of the 4 atlantic province they live in and if they plan to travel outside of their home province this summer

a- goodness of fit test

b- test of independence

c- test of homogenity.

Answer 1

A random sample of residents are chosen from each of the 4 Atlantic provinces each resident is asked which of the 4 atlantic province they live in and if they plan to travel outside of their home province this summer

Here we can categorize the provinces as sub groups of Atlantic city. We want to know about the plans of summer whether the residents want to travel or stay home. So based on the sub groups we look at the proportion of traveling. This is to see if the subgroups have same distribution regarding the summer plans. For this we would use test of homogenity.

a- goodness of fit test

goodness of fit test is to compare the observed values of a group to an expected distribtion. We test whether the observed and expected are same. Here we have not been given an such distribution.

b- test of independence

Test of independence is similar to homogenity but here there are two separate categories compared for eg: to test if gender has any relation with different professions

c- test of homogenity.