The following table shows site type and type of pottery for a random sample of 628 sherds at a location in Sand Canyon Archaeological Project, Colorado (The Sand Canyon Archaeological Project, edited by Lipe):

Use a chi-square test to determine if site type and pottery type are independent at the 0.01 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:

Pottery Type Mesa Verde McElmo Row Site Type Black-on-White Black-on-White Black-on-White Total 189 213 226 528 Mancos Mesa Top Cliff-Talus Canyon Bench Column Total 75 81 92 248 61 70 68 199 53 62 181