8. [-/0.27 Points] DETAILS BBUNDERSTAT12 10.1.012.MI.S. MY NOTES ASK YOU The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Cooking Jar Sherds Decorated Jar Sherds Ceremonial Ranking (Noncooking) Row Total A 91 44 135 B 89 56 145 82 72 154 Column Total 262 172 434 LA 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? State the null and alternate hypotheses. Ho: Ceremonial ranking and pottery type are independent. H1: Ceremonial ranking and pottery type are independent. Ho: Ceremonial ranking and pottery type are not independent. H1: Ceremonial ranking and pottery type are not independent. Ho: Ceremonial ranking and pottery type are independent. H1: Ceremonial ranking and pottery type are not independent. Ho: Ceremonial ranking and pottery type are not independent. H1: Ceremonial ranking and pottery type 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? uniform binomia chi-square Student's t normal 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