The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type MCElmo Mesa Verde Black-on-White 74 Mancos Site Type Row Total Black-on-White 62 Black-on-White Mesa Top Cliff-Talus Canyon Bench 53 189 83 71 59 213 91 69 66 226 Column Total 248 202 178 628 A 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. H,: 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 decimal places.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? normal O Student'st O uniform O binomial O chi-square

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