s the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 413 of the 562 randomly selected wildfires looked at in the south were caused by humans while 422 of the 548 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.05 level of significance?   For this study, we should use        The null and alternative hypotheses would be:                        (please enter a decimal)                     (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is      Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 562 wildfires that were caused by humans in the south is lower than the proportion of the 548 wildfires that were caused by humans in the west. The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west. The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west.

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 the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 413 of the 562 randomly selected wildfires looked at in the south were caused by humans while 422 of the 548 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.05 level of significance?  

  1. For this study, we should use       
  2. The null and alternative hypotheses would be:   
  3.   

                 (please enter a decimal)   

                 (Please enter a decimal)

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically insignificant at αα = 0.05, so there is statistically significant evidence to conclude that the population proportion of wildfires caused by humans in the south is equal to the population proportion of wildfires caused by humans in the west.
    • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 562 wildfires that were caused by humans in the south is lower than the proportion of the 548 wildfires that were caused by humans in the west.
    • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west.
    • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is lower than the population proportion of wildfires caused by humans in the west.
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