Is there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked a random sample of mothers what they had fed their infant and they also recorded whether or not the child was autistic. Almost all brands of formula sold in the U.S. are now fortified with DHA (docosahexaenoic acid) and ARA (arachidonic acid). The data are in the table below. Do the data provide enough evidence to show that that what an infant is fed and autism are dependent? Test at the 1% level and round expected values to one decimal place. what an infant is fed yes (Observed) yes (Expected Value) no (Observed) no (Expected Value) Row Total breastmilk 6   422   428 formula with DHA/ARA 7   1156   1163 formula without DHA/ARA 15   525   540 Column Total 28   2103   2131 H: Hypotheses Ho:Ho:Select an answer whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  are Select an answer independent dependent          Ha:Ha:Select an answer whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  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 whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  are Select an answer independent dependent  .

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Is there a relationship between autism and what an infant is fed? To determine if there is, a researcher asked a random sample of mothers what they had fed their infant and they also recorded whether or not the child was autistic. Almost all brands of formula sold in the U.S. are now fortified with DHA (docosahexaenoic acid) and ARA (arachidonic acid). The data are in the table below. Do the data provide enough evidence to show that that what an infant is fed and autism are dependent? Test at the 1% level and round expected values to one decimal place.



what an infant is fed yes (Observed) yes (Expected Value) no (Observed) no (Expected Value) Row Total
breastmilk 6   422   428
formula with DHA/ARA 7   1156   1163
formula without DHA/ARA 15   525   540
Column Total 28   2103   2131



H: Hypotheses

Ho:Ho:Select an answer whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  are Select an answer independent dependent     

   
Ha:Ha:Select an answer whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  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 whether or not a child has autism infant infants yes  and Select an answer what an infant is fed infant infants no  are Select an answer independent dependent  .

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