7. [-/0.27 Points] DETAILS BBUNDERSTAT12 10.1.011.S. The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type Site Type Mesa Verde McElmo Mancos Black-on-White Row Total Black-on-White Black-on-White Mesa Top 72 56 61 189 Cliff-Talus 77 68 68 213 Canyon Bench 90 65 71 226 Column Total 239 189 200 628 LA USE SALT Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: Site type and pottery are not independent. H1 : Site type and pottery are not independent. Ho: Site type and pottery are independent. H1 : Site type and pottery are independent. Ho: Site type and pottery are independent. H1 : Site type and pottery are not independent. Ho: Site type and pottery are not independent. H: Site type and pottery are independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? Yes No What sampling distribution will you use? binomial normal chi-square uniform Student's t What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) p-value > 0.100 0.050