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). 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? _ (Please round to two decimal places) What is the p-value associated with this test? (Please round to four decimal places) The result of the hypothesis is: Since p<α we fail to reject the null hypothesis Since p ≥ α we reject the null hypothesis and accept the alternative Since p ≥ α we accept the null hypothesis Since p<α we reject the null hypothesis and accept the alternative Since p ≥ α we do not have enough evidence to reject the null hypothesis

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

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).

	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.

1. Ho: p_vitamin = p_{no vitamin}
  Ha: p_vitamin < p_{no vitamin}
2. Ho: p_vitamin = p_{no vitamin}
  Ha: p_vitamin > p_{no vitamin}
3. Ho: p_vitamin = p_{no vitamin}
  Ha: p_vitamin ≠ p_{no vitamin}

(b) Complete the hypothesis test and state an appropriate conclusion.
What is the value of the test statistic for this test? _________ (Please round to two decimal places) What is the p-value associated with this test? ________ (Please round to four decimal places)

The result of the hypothesis is: