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# A CHI-SQUARE TEST INVOLVES A SET OF COUNTS CALLED “EXPECTED COUNTS.” WHAT ARE THE EXPECTED COUNTS?

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Author: Christine Farr
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A chi-square test involves a set of counts called “expected counts.” What are the expected counts? i. Hypothetical counts that would occur if the null hypothesis were true.ii. Hypothetical counts that would occur if the alternative hypothesis were trueiii. The actual counts that did occur in the study.Question 5 (Chapter 15) Chi-Square Name that Scenario -- Select the appropriate Chi Square test that should be used to address each of the following research questions. a. Sparked by recent controversy, researchers wanted to study if there is a relationship between receiving a certain vaccine and developing signs of autism. For 175 children, the researchers tallied whether or not a child received the vaccine and also whether the child developed no signs of autism, a few signs of autism, or many signs of autism.i. Test of Goodness of Fitii. Test of Homogeneityiii. Test of Independence(1 pts) b. Faced with budget cuts, a city administrator would like to know voters' preferences for changes to funding. A sample of 50 women and a separate sample of 50 men were taken and the voters were asked if they'd rather see cuts to public art programs, public transportation programs, or parks and recreation programs. The city administrator wondered if preferences were the same for men and women. i. Test of Goodness of Fitii. Test of Homogeneityiii. Test of Independence(1 pts) c. A university facilities manager sought to improve building access for people with disabilities for a building with 5 sets of doors. In order to decide which sets of doors to the building would benefit most from improvements, the manager surveyed 64 students and asked which set of doors of the 5 they most commonly used. The manager wants to test if the 5 sets of doors are used equally often. i. Test of Goodness of Fitii. Test of Homogeneityiii. Test of IndependenceQuestion 6 (Chapter 12)

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