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). (Use a significance level of 0.05. Use py - PNy) Autism Autism Typical development Total Periconceptional No vitamin prenatal vitamin Vitamin 112 74 186 141 158 299 Total 253 232 485 (a) State appropriate hypotheses to test for a difference in the rates of autism of children of mothers who did use prenatal vitamins during the first three months before pregnancy and the rates of autism of children of mothers who did not use prenatal vitamins during the first three months before pregnancy. O Ho: Py S PNV H: Py > PNV O Ho: Py > PNV Ha: Py S PNV O Ho: Py s PNV HA: Py* PNV O Ho: Py- PNV HA: Py * PNV O Ho: Pv* PNv Ha: Py - PNV (b) Complete the hypothesis test and state an appropriate conclusion. Check the relevant conditions. The sample is vy random and the sample represents less than vv 10% of all mothers of autistic children and mothers of children with a typical development. Therefore whether or not one mother in the sample vv independent of another. The success-failure condition is took prenatal vitamins in the three months before pregnancy is met since the number of successes and failures is greater than v 10. Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
icon
Concept explainers
Topic Video
Question

Z=, P-Value=

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). (Use a significance level of 0.05. Use py - Ê Ny:).
Autism
Autism
Typical development
Total
No vitamin
112
74
186
Periconceptional
prenatal vitamin
Vitamin
141
158
299
Total
253
232
485
(a) State appropriate hypotheses to test for a difference in the rates of autism of children of mothers who did use prenatal vitamins during the first three months before pregnancy and the rates of autism of children of mothers who did
not use prenatal vitamins during the first three months before pregnancy.
O Ho: Pvs PNv
HA: Pv> PNv
O Ho: Pv> PNv
HA: PVS PNV
O Ho:PvS PNV
HA: Pv # Pnv
O Ho: Pv = PNV
HA: Pv# PNv
O Ho: Pv# PNv
HA: Pv = PNv
(b) Complete the hypothesis test and state an appropriate conclusion.
Check the relevant conditions.
The sample is
took prenatal vitamins in the three months before pregnancy is
random and the sample represents less than
10% of all mothers of autistic children and mothers of children with a typical development. Therefore whether or not one mother in the sample
independent of another. The success-failure condition is
met since the number of successes and failures is greater than V
10.
Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.)
Z =
p-value
Transcribed Image Text: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). (Use a significance level of 0.05. Use py - Ê Ny:). Autism Autism Typical development Total No vitamin 112 74 186 Periconceptional prenatal vitamin Vitamin 141 158 299 Total 253 232 485 (a) State appropriate hypotheses to test for a difference in the rates of autism of children of mothers who did use prenatal vitamins during the first three months before pregnancy and the rates of autism of children of mothers who did not use prenatal vitamins during the first three months before pregnancy. O Ho: Pvs PNv HA: Pv> PNv O Ho: Pv> PNv HA: PVS PNV O Ho:PvS PNV HA: Pv # Pnv O Ho: Pv = PNV HA: Pv# PNv O Ho: Pv# PNv HA: Pv = PNv (b) Complete the hypothesis test and state an appropriate conclusion. Check the relevant conditions. The sample is took prenatal vitamins in the three months before pregnancy is random and the sample represents less than 10% of all mothers of autistic children and mothers of children with a typical development. Therefore whether or not one mother in the sample independent of another. The success-failure condition is met since the number of successes and failures is greater than V 10. Calculate the test statistic and determine the p-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) Z = p-value
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill