he following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological ocation. Decorated Jar Sherds Ceremonial Ranking Cooking Jar Sherds Row Total (Noncooking) 87 48 135 B 89 56 145 C. 78 76 154 Column Total 254 180 434 se 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 H,: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are not independent. O Ho: 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 binomial O uniform 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.) 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. Since the P-value > a, we reject the null hypothesis. Since the P-value s a, we reject the null hypothesis. 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 5% level of significance, there is sufficient evidence to conclude 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 arn

he following table shows ceremonial ranking and type of pottery sherd for a random sample of 434 sherds at an archaeological ocation. Decorated Jar Sherds Ceremonial Ranking Cooking Jar Sherds Row Total (Noncooking) 87 48 135 B 89 56 145 C. 78 76 154 Column Total 254 180 434 se 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 H,: Ceremonial ranking and pottery type are not independent. H,: Ceremonial ranking and pottery type are not independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are independent. O Ho: Ceremonial ranking and pottery type are independent. H,: Ceremonial ranking and pottery type are not independent. O Ho: 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 binomial O uniform 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.) 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. Since the P-value > a, we reject the null hypothesis. Since the P-value s a, we reject the null hypothesis. 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 5% level of significance, there is sufficient evidence to conclude 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 arn

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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