Answer according to sample please 8. We have counts of 626 their \"hepatitis sta

Question

Answer according to sample please

8. We have counts of 626 their "hepatitis statue, The tabde lists the observed counts. The expected counts should be in parentheses. Are tattoo status and hepatitis status independent? Hepatitis C No hepatitis C Total Tattoo 25(8.48)88113 None 22 91 (474.45) 513 Total47 579 626 (a) (2 points) Fill in the empty expected counts. (b) (1 point) What is the sampling distribution of the test statistic if you were to test whether tattoo status and hepatitis status are independent. What degreos of freedom would you use? (c) (3 points) Calculate the X2 test statistic. Provide a P-value (an interval is fine) and a conclusion in the context of tattoo status and hepatitis status regarding your hypothesis test. (d) (2 points) Using a residual analysis (caleulate the appropriate standardized resi ual), what can you say about individuals with tattoos regarding having Hepatitis C?

Explanation / Answer

Ans:

Chi suqare test for independence:

H0:Tattoo status and Hepatitis status are independent.

Ha:Tattoo status and Hepatitis status are not independent.

Expected count=row total*column total/overall total

a)47*513/626=38.52

579*113/626=104.52

b)Chi square model with df=(2-1)*(2-1)=1

c)

p-value=chidist(42.42,1)=0

As,p-value<0.0001,we reject null hypothesis.

We have sufficient evidence to conclude that tattoo status and hepatitis C status are not independent.

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