The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. \begin{tabular}{|c|c|c|c|} \hline Ceremonial Ranking & Cooking Jar Sherds & \begin{tabular}{c} Decorated Jar Sherds \\ (Noncooking) \end{tabular} & Row Total \\ \hline A & 89 & 46 & 135 \\ \hline B & 95 & 50 & 145 \\ \hline C & 78 & 76 & 154 \\ \hline Column Total & 262 & 172 & 434 \\ \hline \end{tabular} \( \Omega \) 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? \( \square \) State the null and alternate hypotheses. \( H_{0} \) : Ceremonial ranking and pottery type are not independent. \( H_{1} \) : Ceremonial ranking and pottery type are not independent. \( H_{0} \) : Ceremonial ranking and pottery type are independent. \( H_{1} \) : Ceremonial ranking and pottery type are not independent. \( H_{0} \) : Ceremonial ranking and pottery type are not independent. \( H_{1} \) : Ceremonial ranking and pottery type are independent.
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The level of significance for the test is given as 0.05. This means that there is a 5% risk of concluding that a difference exists when there is no actual difference. Show more…
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The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at a location in the Sand Canyon Archaeological Project, Colorado (The Architecture of Social Integration in Prehistoric Pueblos, edited by Lipe and Hegmon). $$\begin{array}{lcccc} \hline \begin{array}{l} \text { Ceremonial } \\ \text { Ranking } \end{array} & \begin{array}{c} \text { Cooking Jar } \\ \text { Sherds } \end{array} & \begin{array}{c} \text { Decorated Jar Sherds } \\ \text { (Noncooking) } \end{array} & \text { Row Total } \\ \hline \mathrm{A} & 86 & 49 & 135 \\ \hline \mathrm{B} & 92 & 53 & 145 \\ \hline \mathrm{C} & 79 & 75 & 154 \\ \hline \text { Column Total } & 257 & 177 & 434 \\ \hline \end{array}$$ Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.
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The following table shows site type and type of pottery for a random sample of 628 sherds at a location in Sand Canyon Archaeological Project, Colorado (The Sand Canyon Archaeological Project, edited by Lipe). Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.
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