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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 Typs McElmo Black-on-White 62 71 71 204 Mancos Black-on-White 57 63 65 Mesa Verde Site Type Row Total Mesa Tog Canyan Bench Column Tetal Black-on-White 70 79 90 189 213 226 185 A uUSE 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 H: Site type and pottery are independent. H Ste type and pottery are net independent. OH Site type and pottery are not independent. H Site type and pottery are independent. OM Site type and potery are not independent. H Site type and pottery are net independent. OH Site type and potery are independent. Ni Ste type and pottery are independent. DI 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 frequendes greater than 57 O ves O No What sampling distribution will you use? O chi-square O unitorm O normal O binomial O Student'st What are the degrees of treedom? (C) Find or estimate the Prvalue of the sample test statistic. (Round your answer to thre decimal places.) O pvalue >0.100 O 0.0s0

The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Typs McElmo Black-on-White 62 71 71 204 Mancos Black-on-White 57 63 65 Mesa Verde Site Type Row Total Mesa Tog Canyan Bench Column Tetal Black-on-White 70 79 90 189 213 226 185 A uUSE 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 H: Site type and pottery are independent. H Ste type and pottery are net independent. OH Site type and pottery are not independent. H Site type and pottery are independent. OM Site type and potery are not independent. H Site type and pottery are net independent. OH Site type and potery are independent. Ni Ste type and pottery are independent. DI 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 frequendes greater than 57 O ves O No What sampling distribution will you use? O chi-square O unitorm O normal O binomial O Student'st What are the degrees of treedom? (C) Find or estimate the Prvalue of the sample test statistic. (Round your answer to thre decimal places.) O pvalue >0.100 O 0.0s0

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 Mesa Top Cliff-Talus Canyon Bench Column Total Row Total Black-on-White Black-on-White Black-on-White 70 62 57 189 79 71 63 213 90 71 65 226 239 204 185 628 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 H: Site type and pottery are independent. H: Site type and pottery are not independent. OH: Site type and pottery are not independent. H: Site type and pottery are independent. O H: Site type and pottery are not independent. H.: Site type and pottery are not independent. OH: 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 frequendies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O uniform O normal O binomial O Student'st What are the degrees of freedom? (C) Find or estimate the Prvalue of the sample test statistic. (Round your answer to three decimal places.) O pvalue > 0.10D 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 prvalue < 0.00s (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 Pvalue > a, we fail to reject the nul hypothesis. O Since the Pvalue >a, we reject the null hypothesis. O Since the Pvalue sa, we reject the null hypothesis. O Since the Pvalue sa, we fal to reject the null hypothesis (e) Interpret your condusion in the context of the application. O At the 15% 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 Mesa Top Cliff-Talus Canyon Bench Column Total Row Total Black-on-White Black-on-White Black-on-White 70 62 57 189 79 71 63 213 90 71 65 226 239 204 185 628 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 H: Site type and pottery are independent. H: Site type and pottery are not independent. OH: Site type and pottery are not independent. H: Site type and pottery are independent. O H: Site type and pottery are not independent. H.: Site type and pottery are not independent. OH: 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 frequendies greater than 5? O Yes O No What sampling distribution will you use? O chi-square O uniform O normal O binomial O Student'st What are the degrees of freedom? (C) Find or estimate the Prvalue of the sample test statistic. (Round your answer to three decimal places.) O pvalue > 0.10D 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 prvalue < 0.00s (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 Pvalue > a, we fail to reject the nul hypothesis. O Since the Pvalue >a, we reject the null hypothesis. O Since the Pvalue sa, we reject the null hypothesis. O Since the Pvalue sa, we fal to reject the null hypothesis (e) Interpret your condusion in the context of the application. O At the 15% 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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