The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Decorated Jar Sherds (Noncooking) Ceremonial Ranking Cooking Jar Sherds Row Total A 81 54 135 93 52 145 76 78 154 Column Total 250 184 434 A USE SALT Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. Hn: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not independent. O Họ: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type 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.) 0.028 Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O Student's t O normal O binomial