Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 174 randomly selected Midwesterners surveyed 70 had an American car, 83 had a car from Asia, and 21 had a cars from another country. Of the 171 randomly selected people from the west coast who were surveyed, 43 had an American car, 89 had a car from Asia, and 39 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an = 0.01 level of significance. a. What is the correct statistical test to use? O Goodness-of-Fit Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. Address and car brand's countries are dependent. Address and car brand's countries are independent. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. H₂: The distribution of car brand's countries is the same for Midwesterners and people from the west coast. Address and car brand's countries are dependent. Address and car brand's countries are independent. O The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample= (Please show your answer to four decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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Transcribed Image Text:Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 174 randomly selected Midwesterners surveyed 70 had an American car, 83 had a car from Asia, and 21 had a cars from another country. Of the 171 randomly selected people from the west coast who were surveyed, 43 had an American car, 89 had a car from Asia, and 39 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an x = 0.01 level of significance. a. What is the correct statistical test to use? O Goodness-of-Fit O Independence Homogeneity Paired t-test b. What are the null and alternative hypotheses? Ho: The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. Address and car brand's countries are dependent. Address and car brand's countries are independent. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. H₁: O The distribution of car brand's countries is the same for Midwesterners and people from the west coast. O Address and car brand's countries are dependent. Address and car brand's countries are independent. The distribution of car brand's countries is not the same for Midwesterners and people from the west coast. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample= e. The p-value is [Select an answer f. Based on this, we should O fail to reject the null accept the null O reject the null a (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is sufficient evidence to conclude that the distribution of car brand's countries is not the same for Midwesterners and people from the west coast. O There is sufficient evidence to conclude that address and car brand's countries are dependent. O There is insufficient evidence to conclude that the distribution of car brand's countries is not the same for Midwesterners and people from the west coast. O There is sufficient evidence to conclude that the distribution of car brand's countries is the same for Midwesterners and people from the west coast. O There is insufficient evidence to conclude that address and car brand's countries are independent.

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