The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type McElmo Mesa Verde Mancos Site Type Row Total Black-on-White Black-on-White Black-on-White Mesa Top Cliff-Talus Canyon Bench Column Total 72 83 55 57 62 189 213 73 87 72 67 226 242 207 179 628 A USE SALT Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Site type and pottery are independent. H: Site type and pottery are not independent. O Ho: Site type and pottery are not independent. H: Site type and pottery are not independent. O Ho: Site type and pottery are not independent. H: Site type and pottery are independent. O Ho: Site type and pottery are independent. H: Site type and pottery 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 5? O Yes O No What sampling distribution will you use? O uniform O normal O Student'st O binomial O chi-square What are the degrees of freedom?

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The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location.
Pottery Type
Mesa Verde
McElmo
Mancos
Site Type
Row Total
Black-on-White
Black-on-White
Black-on-White
Mesa Top
Cliff-Talus
Canyon Bench
72
62
73
55
189
83
57
213
226
87
72
67
Column Total
242
207
179
628
A USE SALT
Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
Ho: Site type and pottery are independent.
H: Site type and pottery are not independent.
O Ho: Site type and pottery are not independent.
H: Site type and pottery are not independent.
O Ho: Site type and pottery are not independent.
H: Site type and pottery are independent.
O Ho: Site type and pottery are independent.
H: Site type and pottery 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 5?
O Yes
O No
What sampling distribution will you use?
O uniform
O normal
O Student'st
O binomial
chi-square
What are the degrees of freedom?
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 Mesa Verde McElmo Mancos Site Type Row Total Black-on-White Black-on-White Black-on-White Mesa Top Cliff-Talus Canyon Bench 72 62 73 55 189 83 57 213 226 87 72 67 Column Total 242 207 179 628 A USE SALT Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: Site type and pottery are independent. H: Site type and pottery are not independent. O Ho: Site type and pottery are not independent. H: Site type and pottery are not independent. O Ho: Site type and pottery are not independent. H: Site type and pottery are independent. O Ho: Site type and pottery are independent. H: Site type and pottery 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 5? O Yes O No What sampling distribution will you use? O uniform O normal O Student'st O binomial chi-square What are the degrees of freedom?
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