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.
Please provide the following information:
(a) What is the level of significance? State the null and alternate hypotheses.
(b) 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) Your conclusion in the context of the application.
Use the expected values E to the hundredths place.

Transcribed Image Text:

Ceremonial Ranking Cooking Jar Decorated Jar Sherds (Noncooking) 49 8 Sherds 86 92 79 257 Row Total 135 145 154 434 Column Total