The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type Site Type Mesa Verde McElmo Mancos Row Total Black-on-White Black-on-White Black-on-White Mesa Top 79 57 53 189 Cliff-Talus Canyon Bench 82 69 62 213 93 68 65 226 Column Total 254 194 180 628 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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(a) What is the 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.

What are the degrees of freedom?

 

The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.
Pottery Type
Site Type
Mesa Verde
McElmo
Mancos
Row Total
Black-on-White
Black-on-White
Black-on-White
Mesa Top
79
57
53
189
Cliff-Talus
Canyon Bench
82
69
62
213
93
68
65
226
Column Total
254
194
180
628
Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.
Transcribed Image Text:The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type Site Type Mesa Verde McElmo Mancos Row Total Black-on-White Black-on-White Black-on-White Mesa Top 79 57 53 189 Cliff-Talus Canyon Bench 82 69 62 213 93 68 65 226 Column Total 254 194 180 628 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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