Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 170 randomly selected Midwesterners surveyed 50 had an American car, 100 had a car from Asia, and 20 had a cars from another country. Of the 159 randomly selected people from the west coast who were surveyed, 44 had an American car, 81 had a car from Asia, and 34 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an αα = 0.05 level of significance. What is the correct statistical test to use? Goodness-of-Fit Independence Paired t-test Homogeneity What are the null and alternative hypotheses? H0:H0:  Address and car brand's countries are dependent. 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 independent. The distribution of car brand's countries is the same for Midwesterners and people from the west coast. H1:H1:  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. 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 independent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = (Please show your answer to four decimal places.)  The p-value is Select an answer less than (or equal to) greater than  αα  Based on this, we should reject the null accept the null fail to reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that address and car brand's countries are independent. 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. 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. There is sufficient evidence to conclude that address and car brand's countries are dependent. 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.

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 58E: What is meant by the sample space of an experiment?
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Is there a difference in the car brand's countries for Midwesterners and people from the west coast? Of the 170 randomly selected Midwesterners surveyed 50 had an American car, 100 had a car from Asia, and 20 had a cars from another country. Of the 159 randomly selected people from the west coast who were surveyed, 44 had an American car, 81 had a car from Asia, and 34 had a car from outside of the US and Asia. Conduct the appropriate hypothesis test using an αα = 0.05 level of significance.

  1. What is the correct statistical test to use?
    • Goodness-of-Fit
    • Independence
    • Paired t-test
    • Homogeneity
  2. What are the null and alternative hypotheses?
    H0:H0: 
    • Address and car brand's countries are dependent.
    • 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 independent.
    • The distribution of car brand's countries is the same for Midwesterners and people from the west coast.







    H1:H1: 
    • 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.
    • 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 independent.
  3. The test-statistic for this data = (Please show your answer to three decimal places.)





  4. The p-value for this sample = (Please show your answer to four decimal places.) 





  5. The p-value is Select an answer less than (or equal to) greater than  αα 





  6. Based on this, we should
    • reject the null
    • accept the null
    • fail to reject the null
  7. Thus, the final conclusion is...
    • There is insufficient evidence to conclude that address and car brand's countries are independent.
    • 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.
    • 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.
    • There is sufficient evidence to conclude that address and car brand's countries are dependent.
    • 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.
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