Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.01 level of significance?   For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean  The null and alternative hypotheses would be:          Select an answer p1 μ1  Select an answer > ≠ < =  Select an answer μ2 p2  (please enter a decimal)       Select an answer p1 μ1  Select an answer > = < ≠  Select an answer p2 μ2  (Please enter a decimal)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Is the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.01 level of significance?  

  1. For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean 
  2. The null and alternative hypotheses would be:   
  3.   

   Select an answer p1 μ1  Select an answer > ≠ < =  Select an answer μ2 p2  (please enter a decimal)   

   Select an answer p1 μ1  Select an answer > = < ≠  Select an answer p2 μ2  (Please enter a decimal)

  1. The test statistic ? z t  =  (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 Select an answer reject fail to reject accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the proportion of the 533 wildfires that were caused by humans in the south is different from the proportion of the 554 wildfires that were caused by humans in the west.
    • The results are statistically significant at αα = 0.01, so there is sufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is different from the population proportion of wildfires caused by humans in the west.
    • The results are statistically insignificant at αα = 0.01, 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 = 0.01, so there is insufficient evidence to conclude that the population proportion of wildfires caused by humans in the south is different from the population proportion of wildfires caused by humans in the west.
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