Question

test for multiple population proportions

test for independence

Goodness of fit test

1. A person in a city observes a sample of 500 cars and wants to know whether the car make distribution in the city is different from the car make distribution in the Unites States.

2. A customer wants to compare the percentages of customer satisfaction among three hotels.

3. A survey asks adults the following questions: What is your age? 18-50 Above 50 How many cups of coffee do you drink daily? None 1-2 more than 2 The survey wants to know whether there is difference between the two age groups.

4. A survey asks adults the following questions: What is your gender? 18-30   31-50 Above 50. Do you drink at least one cup of coffee daily? Yes No The survey wants to know whether there is difference the three age groups.

Answer 1

1. Test for goodness of fit

We use chi square test for goodness of fit to test if the proportions of car make in a city are equal to proportions of car make in USA.

2. Test for multiple population proportions

We use chi square test to compare proportions customer satisfaction among three hotels.

3. Test for independence

We use chi square test to see whether age and coffee intake are independent

4. Test for independence

We use chi square test to see whether gender  and coffee intake are independent