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 .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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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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