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State the null and alternate hypotheses. 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 not independent. H,: Site type and pottery are not 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? O uniform O binomial O Student'st O normal 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.) (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 sa, 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.

State the null and alternate hypotheses. 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 not independent. H,: Site type and pottery are not 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? O uniform O binomial O Student'st O normal 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.) (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 sa, 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.

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 MCElmo Mancos Site Type Mesa Verde Black-on-White Row Total Black-on-White Black-on-White 189 213 226 628 Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. Mesa Top Cliff-Talus Canyon Bench Column Total 77 63 49 71 64 77 65 96 66 250 194 184 (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 independent. O Ho: Site type and pottery are not independent. H,: Site type and pottery are 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 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? O uniform O binomial O Student's t O normal 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.) (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 > «, 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 MCElmo Mancos Site Type Mesa Verde Black-on-White Row Total Black-on-White Black-on-White 189 213 226 628 Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. Mesa Top Cliff-Talus Canyon Bench Column Total 77 63 49 71 64 77 65 96 66 250 194 184 (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 independent. O Ho: Site type and pottery are not independent. H,: Site type and pottery are 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 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? O uniform O binomial O Student's t O normal 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.) (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 > «, 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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