Question 4: Do babies take the weekend cf he U,5. National Center for Health Sta

Question

Question 4: Do babies take the weekend cf he U,5. National Center for Health Statistics records information on each new baby born in the US ,including time and date of birth weight day of the week on which each birth and sex. Using this data, one thing that we can tell occurred. We want to test the hypothesis that babies are equally likely to be born on day of the week, in a random sample of 350 births from 1999. the table below asts the number of babies born on each dav of the week Sunday Monday Tuesday Wednesday Thursday Friday Saturday a) state the null and aternative hypotheses in What test ik appropriate Herit? by assume that in 1999 there was an eq number of each day of the week. Then pute the expected frequenev in each e the test statistic and state its distribution under the null what is wour dl Calculate the lor gve a targe, it using a tablet. a d os, p-val conclusion regarding the mul hypotheus? what is vown scientifi conclusion

Explanation / Answer

null hypothesis: event of birth is independent of weekdays.

alternate hypothesis: event of birth is dependent on weekdays.

for above chi square test stat =15.24 and degree of freedom =n-1=6

from chi distribution p value =0.0185

as p value is less then 0.05 level ; we reject null hypothesis

aand conclude that event of birth and day of week are dependent.

observed Expected Chi square Probability O E=total*p =(O-E)^2/E Sunday 1/7 33.00 50.00 5.78 Monday 1/7 41.00 50.00 1.62 Tuesday 1/7 63.00 50.00 3.38 Wednesday 1/7 63.00 50.00 3.38 Thursday 1/7 47.00 50.00 0.18 Friday 1/7 56.00 50.00 0.72 Saturday 1/7 47.00 50.00 0.18 350 350 15.2400

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