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. 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 4% level.

what an infant is fed	yes	no	Row Total
breastmilk	6	422	428
formula with DHA/ARA	6	1157	1163
formula without DHA/ARA	15	526	541
Column Total	27	2105	2132

H: Hypotheses H0:H0:Select an answer whether or not a child has autism yes infants infant and Select an answer infants what an infant is fed no infant are Select an answer linearly related independent dependent not correlated not linearly related correlated

HA:HA:Select an answer infants whether or not a child has autism infant yes and Select an answer no what an infant is fed infant infants are Select an answer dependent not correlated independent linearly related not linearly related correlated A: Assumptions

• In this problem Select an answer Quantitative Qualitative data were collected for Select an answer One Two Three Four variable(s) from Select an answer 2 2132 1 sample(s).
• Which of the following assumptions must be checked? Check all that apply.

• All expected counts are at least 5
• Population standard deviations are known
• N
• All expected counts are less than 5
• All observed counts are at least 5
• Population standard deviations are unknown
• N >= 20n
• All sample sizes are at least 30
• All observed counts are less than 5

Check the assumptions: 1. Enter the matrix of expected values.

Round values to 2 decimal places:

• • Are all of the values in the matrix of expected values greater than or equal to 5? ? Yes No

2. No N is given, we will assume N ? > ? ? = ? N: Name the test

The conditions are met to use a Select an answer Linear Regression T-Test T-Test, 2-Sample T-Test Chi-Square Goodness-of-Fit Test 1-Proportion Z-Test Chi-Square Independence Test 2-Proportion Z-Test Paired T-Test . T: Test Statistic

The formula set up of the first and last term of the test statistic is as follows:

Round initial values to 2 decimal places: X2=?((O?E)2E)?2=?((O-E)2E) = ( - )^2^2/ + ... + ( - )^2^2/

Final answer from technology rounded to 2 decimal places:

?2?2 = O: Obtain the P-value

Report the final answer to 4 decimal places.

It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision

Since the p-value ? ? = ? ? , we Select an answer fail to reject H? reject H? accept H? reject H? fail to reject H? . S: State a conclustion

• There Select an answer is not is significant evidence to conclude that Select an answer yes whether or not a child has autism infant infants and Select an answer no what an infant is fed infants infant are Select an answer correlated not correlated not linearly related independent linearly related dependent for Select an answer all 2132 randomly selected infants.

Chrome Edit View History Bookmarks Profiles Tab Window Help O Sun Nov 27 2:52 AM Bb Jimmy P ENG 100 Pr X Bb Jimmy P ENG 100 Pr X Paraphrasing Tool | ( x Untitled document - X Content X Transitions - The Wr x Dashboard harper.blackboard.com/ultra/courses/_158096_1/cl/outline M Gmail YouTube % Maps Paraphrasing Tool... MTH165 006 - ELEMENTARY STATISTICS (Fall 2022 Credit Courses) ... MyOpenMath Homework MyOpenMath Homework Section 11.1 X N: Name the test The conditions are met to use a Select an answer T: Test Statistic The formula set up of the first and last term of the test statistic is as follows: Q Round initial values to 2 decimal places: 2 = E (0 - E) E 1 21 ) - 21 Final answer from technology rounded to 2 decimal places: 80 O: Obtain the P-value Report the final answer to 4 decimal places. X It is possible when rounded that a p-value is 0.0000 P-value = M: Make a decision Since the p-value |? v we Select an answer v S: State a conclustion . There Select an answer | significant evidence to conclude that Select an answer and Select an answer are Select an answer v for Select an answer infants. Priv Question Help: D Video 1 ) Video 2 M Message instructor NOV O 27 stv 4 Aa