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 85 50 135 B 93 52 145 76 78 154 Column Total 254 180 434 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. O Ho: Ceremonial ranking and pottery type are not independent. H, : Ceremonial ranking and pottery type are independent. Hoi 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. 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 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.) ]x 5.991

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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
Ceremonial Ranking
Cooking Jar Sherds
Row Total
(Noncooking)
A
85
50
135
B
93
52
145
76
78
154
Column Total
254
180
434
In 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.
O Hn: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are independent.
O Hp: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are not
independent.
O Ha: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not
independent.
O Hn: Ceremonial ranking and pottery type are 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.)
5.991
Transcribed Image Text: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 Ceremonial Ranking Cooking Jar Sherds Row Total (Noncooking) A 85 50 135 B 93 52 145 76 78 154 Column Total 254 180 434 In 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. O Hn: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are independent. O Hp: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are not independent. O Ha: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not independent. O Hn: Ceremonial ranking and pottery type are 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.) 5.991
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