The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type Mesa Verde Black-on-White McElmo Mancos Site Type Row Total Black-on-White 62 71 69 202 Mesa Top Black-on-White 53 74 189 Cliff-Talus 83 91 248 59 Canyon Bench Column Total 213 226 628 66 178 n 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? 0.01 State the null and alternate hypotheses. O Ho: Site type and pottery are not independent. : Site type and pottery are not independent. O Ho: Site type and pottery are independent. H,: Site type and pottery are independent. O Ho: Site type and pottery are not independent. H,: Site type and pottery are independent. O Ho: Site type and pottery are independent. H: Site type and pottery are not 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 de Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O normal O Student's t O uniform