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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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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