Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 26

For Problems 9-19, please provide the following information:
(a) What is the level of significance State the null and alternate hypotheses.
(b) Check Requirements Find the value of the chi-square statistic for the sample. Are all the expected frequencies greater than 5 What sampling distribution will you use What are the degrees of freedom
(c) Find or estimate the P -value of the sample test statistic.
(d) Based on your answers in parts (a)-(c), will you reject or fail to reject the null hypothesis of independence
(e) Interpret your conclusion in the context of the application.
Use the expected values E to the hundredths place.
Archaeology: Pottery The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at a location in the Sand Canyon Archaeological Project, Colorado ( The Architecture of Social Integration in Prehistoric Pueblos , edited by Lipe and Hegmon):

Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.