6.34 Prenatal vitamins and Autism: Researchers studying the link between prenata

Question

6.34 Prenatal vitamins and Autism: Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and conducted another separate random sample for children with typical development. The table below shows the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (periconceptional period). (Schmidt, 2011) No vitamin Vitamin Total AutismTypical Development Total 70 181 302 483 143 254 159 229 (a) State appropriate hypotheses to test for independence of use of prenatal vitamins during the three months before pregnancy and autism. Ho: Pvitamin Pno vitamin Ha: PvitaminF Pno vitamin OHo: Pyitamin Po vitamin Ha: PvitaminPno vitamin OHo: Pvitamin Po vitamin Ha: pyitamin Pno vitamin (b) Complete the hypothesis test and state an appropriate conclusion. What is the value of the test statistic for this test? 8.87 * (Please round to two decimal places) What is the p-value associated with this test? 0.0029 v (Please round to ur decimal places) The result of the h esis is: since p

Explanation / Answer

applying chi squaer test of independence:

value of the test statistic =8.86 ( please try 8.88 if this comes wrong due to rounding error of 2 decimal places_

Observed OBS Autism typical Dev. Total no vitamin 111 70 181 vitamin 143 159 302 Total 254 229 483 Expected Ei=?row*?column/?total Autism typical Dev. Total no vitamin 95.184 85.816 181 vitamin 158.816 143.184 302 Total 254 229 483 chi square =(Oi-Ei)2/Ei Autism typical Dev. Total no vitamin 2.63 2.91 5.54 vitamin 1.58 1.747 3.32 Total 4.20 4.66 8.86

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