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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 McEime Black-on-White Mancos Black-on-Wite Site Type Row Total 59 66 213 225 ConnBench Column Tetal 24 191 Use a chisquare test to determine fste type and pottery type are independent at the 0.01 level of significance. (a) what is the level of signiticance State the nul and ahemate hypotheses OM Ste type and pottery are net independent. H Ste type and pettery are net independent OM Ste type and pottery are net independent. Sne type and petery are independent. OM Ste type and petery are ndependent. M: Ste type and pottery are not independent. OM; Ste type and pottery are independent. M;: Ste type and pottery are independent. ) Pind the value of the chisquare statistic for the sample. (Round the expected frequences to a least three decimal places. Round the test statistic to three decimal piaces.) Are all the expected frequencies greater than S ON what sampling distribution wl you use O Sudents O souare O binemia Ouniform O nerma What are the degrees of freedom to Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places) Opvalue>0.00 O 0.0s0 we reject the null hypothesis. O Since the Pvaluese, we reject the null hypothesis. O Since the Paluese we fall to reject the nul hypothesis. () Interpret your conclusion in the context of the application. OAthe 1% level of signficance, there is sufficient evidence to conclude that site and pomery type are not independent.

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 McEime Black-on-White Mancos Black-on-Wite Site Type Row Total 59 66 213 225 ConnBench Column Tetal 24 191 Use a chisquare test to determine fste type and pottery type are independent at the 0.01 level of significance. (a) what is the level of signiticance State the nul and ahemate hypotheses OM Ste type and pottery are net independent. H Ste type and pettery are net independent OM Ste type and pottery are net independent. Sne type and petery are independent. OM Ste type and petery are ndependent. M: Ste type and pottery are not independent. OM; Ste type and pottery are independent. M;: Ste type and pottery are independent. ) Pind the value of the chisquare statistic for the sample. (Round the expected frequences to a least three decimal places. Round the test statistic to three decimal piaces.) Are all the expected frequencies greater than S ON what sampling distribution wl you use O Sudents O souare O binemia Ouniform O nerma What are the degrees of freedom to Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places) Opvalue>0.00 O 0.0s0 we reject the null hypothesis. O Since the Pvaluese, we reject the null hypothesis. O Since the Paluese we fall to reject the nul hypothesis. () Interpret your conclusion in the context of the application. OAthe 1% level of signficance, there is sufficient evidence to conclude that site and pomery type are not independent.

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. Pottery Type Mesa Verde MCElmo Mancos Site Type Row Total Black-on-White 72 81 Black-on-White Black-on-White Mesa Top 58 59 189 Cliff-Talus 66 66 213 Canyon Bench 95 65 66 226 Column Total 248 189 191 628 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 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 Họ: Site type and pottery are independent. H1: Site type and pottery are not independent. O Ho: Site type and pottery are 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 Student'st O chi-square O binomial O uniform O normal 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.) O 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? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 1% level of significance, there is sufficient evidence to conclude that site and pottery type are not independent. O At the 1% level of significance, there is insufficient evidence to conclude that site and pottery type are not independent.
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 72 81 Black-on-White Black-on-White Mesa Top 58 59 189 Cliff-Talus 66 66 213 Canyon Bench 95 65 66 226 Column Total 248 189 191 628 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 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 Họ: Site type and pottery are independent. H1: Site type and pottery are not independent. O Ho: Site type and pottery are 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 Student'st O chi-square O binomial O uniform O normal 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.) O 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? O Since the P-value > a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 1% level of significance, there is sufficient evidence to conclude that site and pottery type are not independent. O At the 1% level of significance, there is insufficient evidence to conclude that site and pottery type are not independent.
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