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 Black-on-White 74 Mancos Site Type Row Total Black-on-White 62 Black-on-White Mesa Top Cliff-Talus Canyon Bench 53 189 83 71 59 213 91 69 66 226 Column Total 248 202 178 628 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? 0.01 State the null and alternate hypotheses. O Ho: Site type and pottery are not independent. H,: Site type and pottery are not independent. O Ho: Site type and pottery are independent. H,: Site type and pottery are 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 not 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? normal O Student'st O uniform O binomial O chi-square

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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
Black-on-White
McElmo
Mancos
Site Type
Row Total
Black-on-White
Black-on-White
Mesa Top
74
62
53
189
Cliff-Talus
83
71
59
213
Canyon Bench
Column Total
91
69
66
226
248
202
178
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?
0.01
State the null and alternate hypotheses.
O Ho: Site type and pottery are not independent.
H,: Site type and pottery are not independent.
O Ho: Site type and pottery are independent.
H: Site type and pottery are 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 not 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?
Yes
No
What sampling distribution will you use?
normal
Student's t
O uniform
O binomial
chi-square
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 Black-on-White McElmo Mancos Site Type Row Total Black-on-White Black-on-White Mesa Top 74 62 53 189 Cliff-Talus 83 71 59 213 Canyon Bench Column Total 91 69 66 226 248 202 178 628 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? 0.01 State the null and alternate hypotheses. O Ho: Site type and pottery are not independent. H,: Site type and pottery are not independent. O Ho: Site type and pottery are independent. H: Site type and pottery are 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 not 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? Yes No What sampling distribution will you use? normal Student's t O uniform O binomial chi-square
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