The following table shows ceremonial ranking and type of pottery sherd for a ran

Question

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 A 87 48 135 B 94 51 145 C 77 77 154 Column Total 258 176 434 Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance. (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.) (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: var8
Columns: None

Chi-Square test:

Hence,

b) Chi - square statistic = 8.841

c) P - value = 0.012

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