MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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At a stop sign, some drivers come to a full stop, some come to a rolling stop (not a full stop, but slow down), and some do not stop at all. Test if there is an association between gender and type of stop (full, rolling, or no stop). Data is collected by standing a few feet from a stop sign and taking note of the type of stop and the gender of the driver. Below is a contingency table summarizing the data that was collected. Do the data provide enough evidence to show that there is an association between gender and type of stop (full, rolling, or no stop)? Test at the 3% level and round expected values to one decimal place.

Type of Stop Male (Observed) Male (Expected Value) Female (Observed) Female (Expected Value) Row Total
Full Stop 11   21   32
Rolling Stop 15   15   30
No Stop 9   8   17
Column Total 35   44   79



H: Hypotheses

Ho:Ho:Select an answer Gender male female Male  and Select an answer Type of Stop male female Female  are Select an answer independent dependent     

   
Ha:Ha:Select an answer Gender male female Male  and Select an answer Type of Stop male female Female  are Select an answer independent dependent 

Original Claim: Select an answer H₀ H₁ 


Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)

 
X2Χ2( ,) = 

 



Test Statistic χ2χ2 =  (Round to three decimal places.)

P-value =  (Round to four decimal places.)

Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ  .

Conclusion:

 


       There Select an answer is is not  significant evidence to conclude that Select an answer Gender male female Male  and Select an answer Type of Stop male female Female  are Select an answer independent dependent  .
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