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.

Site Type	Mesa Verde Black-on White	McElmo Black-on White	Mancos Black-on-White	Row Total Black-on-White
Mesa Top	75	61	53	189
Cliff-Talus	81	70	62	213
Canyon Bench	92	68	66	226
Column Total	248	199	181	628

1. What is the level of significance? State the null and alternate hypotheses.
2. 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?
3. Find or estimate the P-value of the sample test statistic.
4. Based on your answers in parts a, b, and c, will you reject or fail to reject the null hypothesis of independence?
5. Interpret your conclusion in the context of the application.

Use the expected values E to the hundredths place.

Use Chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.