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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 62 71 69 202 Mesa Top Black-on-White 53 74 189 Cliff-Talus 83 91 248 59 Canyon Bench Column Total 213 226 628 66 178 n 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. : 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 de Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O normal O Student's t O uniform

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 62 71 69 202 Mesa Top Black-on-White 53 74 189 Cliff-Talus 83 91 248 59 Canyon Bench Column Total 213 226 628 66 178 n 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. : 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 de Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? O normal O Student's t O uniform

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Mesa Verde Black-on-White Pottery Type MCElmo Black-on-White Mancos Black-on-White Site Type Row Total Mesa Top 74 62 53 189 Cliff-Talus 83 71 59 213 Canyon Bench Column Total EGO 91 69 66 226 628 248 202 178 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 H: 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 H: 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 place Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? normal O Student'st O uniform
Transcribed Image Text:The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Mesa Verde Black-on-White Pottery Type MCElmo Black-on-White Mancos Black-on-White Site Type Row Total Mesa Top 74 62 53 189 Cliff-Talus 83 71 59 213 Canyon Bench Column Total EGO 91 69 66 226 628 248 202 178 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 H: 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 H: 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 place Are all the expected frequencies greater than 5? Yes O No What sampling distribution will you use? normal O Student'st O uniform
(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 stat Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O normal O Student'st O uniform O binomial O chi-square What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) p-value > 0.100 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O 0.005 < p-value < 0.010 O p-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
Transcribed Image Text:(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 stat Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O normal O Student'st O uniform O binomial O chi-square What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) p-value > 0.100 O 0.050 < p-value < 0.100 O 0.025 < p-value < 0.050 O 0.010 < p-value < 0.025 O 0.005 < p-value < 0.010 O p-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?
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