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) Autism Typical Development Total No vitamin 111 70 181 Vitamin 143 159 302 Total 254 229 483 (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: pvitamin < pno vitamin Ho: pvitamin = pno vitamin Ha: pvitamin ≠ pno vitamin Ho: pvitamin = pno vitamin Ha: pvitamin > pno vitamin (b) Complete the hypothesis test and state an appropriate conclusion. What is the value of the test statistic for this test? _______ What is the p-value associated with this test?________ .The result of the hypothesis is:_____ Since p ≥ α we accept the null hypothesis Since p ≥ α we do not have enough evidence to reject the null hypothesis Since p<α we reject the null hypothesis and accept the alternative Since p<α we fail to reject the null hypothesis Since p ≥ α we reject the null hypothesis and accept the alternative
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)
Autism | Typical Development | Total | |
---|---|---|---|
No vitamin | 111 | 70 | 181 |
Vitamin | 143 | 159 | 302 |
Total | 254 | 229 | 483 |
(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: pvitamin < pno vitamin - Ho: pvitamin = pno vitamin
Ha: pvitamin ≠ pno vitamin - Ho: pvitamin = pno vitamin
Ha: pvitamin > pno vitamin
(b) Complete the hypothesis test and state an appropriate conclusion.
What is the value of the test statistic for this test? _______ What is the p-value associated with this test?________ .The result of the hypothesis is:_____
- Since p ≥ α we accept the null hypothesis
- Since p ≥ α we do not have enough evidence to reject the null hypothesis
- Since p<α we reject the null hypothesis and accept the alternative
- Since p<α we fail to reject the null hypothesis
- Since p ≥ α we reject the null hypothesis and accept the alternative
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