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 ..

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
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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? 408 of the 556 randomly selected wildfires looked at in the south were caused by humans while 462 of the 574 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.05 level of significance?  

  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 significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 556 wildfires that were caused by humans in the south is lower than the proportion of the 574 wildfires that were caused by humans in the west.
    • 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 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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