I need help with the questions shown in the image and (d) Based on your information in parts (a) to (c) will you reject or fail to reject the null hypothesis of independence ?

The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Ceremonial Ranking Cooking Jar Sherds Decorated Jar Sherds (Noncooking) Row Total 135 145 Column Total 154 263 171 434 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. O Ho: Ceremonial ranking and pottery type are Independent. H, : Ceremonial ranking and pottery type are not Independent. O Ho: Ceremonial ranking and pottery type are not Independent. Hi : Ceremonial ranking and pottery type are not Independent. O Ho: Ceremonial ranking and pottery type are Independent. Hi : Ceremonial ranking and pottery type are Independent. O Hot Ceremonial ranking and pottery type are not Independent. H. : 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 57 Yes NO What sampling distribution will you use? chl-square O normal binomial student's t uniform 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.)