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Section 13.1 Chi-square Test for Goodness of Fit (GOF). AP Statistics. What would it have been like to be a crew member on the Titanic?. The crew of the Titanic made up 40% of the people on board. But 45% of the deaths were from the crew (685 of 1517 deaths were from the crew)

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## Section 13.1 Chi-square Test for Goodness of Fit (GOF)

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**Section 13.1Chi-square Test for Goodness of Fit (GOF)**AP Statistics**What would it have been like to be a crew member on the**Titanic? • The crew of the Titanic made up 40% of the people on board. • But 45% of the deaths were from the crew (685 of 1517 deaths were from the crew) • Did the crew pay a heavier cost? AP Statistics, Section 13.1**What is a test statistic?**• z, t are test statistics • In the previous example, z=3.975. • What if… • z=0? • z=5? • z=-3? • We can say that the test statistic is a measure of unusualness. The higher the value, the more unusual the value. AP Statistics, Section 13.1**What new for Chi-squared GOF**• No parameter of interest; rather a model describing the distribution amongst several categories. • H0: the model is good. • Ha: the model is not good. • No normality check; rather no expected counts lower than 1. No more than 20% of the expected counts lower than 5. • df=number of categories-1 AP Statistics, Section 13.1**The statistic for goodness of fit**• The Chi-square test statistic measures how closely the observed data matches what is expected given a particular model AP Statistics, Section 13.1**Step 3: Test Statistic**AP Statistics, Section 13.1**Exercises**• 13.1-13.13 odd AP Statistics, Section 13.1

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