The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Ceremonial Ranking Cooking Jar Sherds Decorated Jar Sherds (Noncooking] Row Total 90 45 135 145 49 96 75 154 79 Column Total 434 265 Use a chi-square test to determine it ceremonial ranking and pottery type are independent at the 0.05 level of significance. 169 (a) What is the level of significance? State the null and alternate hypotheses. O Hg: Ceremonial ranking and pottery type are not independent. H: Ceremonial ranking and pottery type are not independent. O Hg: Ceremonial ranking and pottery type are independent. H: Ceremonial ranking and pottery type are independent. O Hg: Ceremonial ranking and pottery type are independent. H: Ceremonial ranking and pottery type are not independent. O Hg: Ceremonial ranking and pottery type are not independent. H: Ceremonial ranking and pottery type 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 uniform O binomial O normal O Student's t O hi-square What are the degrees of freedom? (C) Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places.) (4) Based on your answers in parts (a) to (C), will you reject or fail to reject the nul hypothesis of independence? O Since the Pvalue > a, we fall to reject the null 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 fail to reject the null hypothesis. (e) Interpret your condusion in the context of the application. O At the 5% level of significance, there is sufficient evidence to condude that ceremonial ranking and pottery type are not independent. O At the 5% level of significance, there is insufficient evidence to conclude that ceremonial ranking and pottery type are not independent.
The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location. Ceremonial Ranking Cooking Jar Sherds Decorated Jar Sherds (Noncooking] Row Total 90 45 135 145 49 96 75 154 79 Column Total 434 265 Use a chi-square test to determine it ceremonial ranking and pottery type are independent at the 0.05 level of significance. 169 (a) What is the level of significance? State the null and alternate hypotheses. O Hg: Ceremonial ranking and pottery type are not independent. H: Ceremonial ranking and pottery type are not independent. O Hg: Ceremonial ranking and pottery type are independent. H: Ceremonial ranking and pottery type are independent. O Hg: Ceremonial ranking and pottery type are independent. H: Ceremonial ranking and pottery type are not independent. O Hg: Ceremonial ranking and pottery type are not independent. H: Ceremonial ranking and pottery type 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 uniform O binomial O normal O Student's t O hi-square What are the degrees of freedom? (C) Find or estimate the Pvalue of the sample test statistic. (Round your answer to three decimal places.) (4) Based on your answers in parts (a) to (C), will you reject or fail to reject the nul hypothesis of independence? O Since the Pvalue > a, we fall to reject the null 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 fail to reject the null hypothesis. (e) Interpret your condusion in the context of the application. O At the 5% level of significance, there is sufficient evidence to condude that ceremonial ranking and pottery type are not independent. O At the 5% level of significance, there is insufficient evidence to conclude that ceremonial ranking and pottery type are not independent.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological location.
Ceremonial Ranking
Cooking Jar Sherds
Decorated Jar Sherds (Noncooking
Row Total
90
45
135
96
79
49
145
75
154
Column Total
265
169
434
Use a chi-square test to determine if ceremonial ranking and pottery type are independent at the 0.05 level of significance.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Hg: Ceremonial ranking and pottery type are not independent.
H: Ceremonial ranking and pottery type are not independent.
O Hg: Ceremonial ranking and pottery type are independent.
H: Ceremonial ranking and pottery type are independent.
O Hg: Ceremonial ranking and pottery type are independent.
H: Ceremonial ranking and pottery type are not independent.
O Hg: Ceremonial ranking and pottery type are not independent.
H: Ceremonial ranking and pottery type 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 57
O Yes
O No
What sampling distribution will you use?
O uniform
O binomial
O normal
O Student's t
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 sa, we reject the null hypothesis.
O Since the P-value sa, we fail to reject the null hypothesis.
(e) Interpret your condlusion in the context of the application.
O At the 5% level of significance, there is sufficient evidence to condude that ceremonial ranking and pottery type are not independent.
O At the 5% level of significance, there is insufficient evidence to conclude that ceremonial ranking and pottery type are not independent.
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