worksheet 4a: Analyzing categorical data The Chi-squared distribution Monday\'s

Question

worksheet 4a: Analyzing categorical data The Chi-squared distribution Monday's Child The US National Center for Health Statistics records information on each baby born in the US, including details such as time of day, gender, weight. From this dataset,it is possible to extract data on the day of the week on which babies are born. Potentially babies should be born with equal frequency on every day of the week, but in many regions, this does not seem to be the case. Here we'll review a subset of data to see if babies are born equally on all days of the week. 1. Compose a question: Are baldes loorn in equal vurvioes on each clay of the week in tne u 2. Compile hypotheses week in are in ual t's on cochday the Ha: Babies are not born in eguat s on eoch d 3. Choose a test and explain your choice: by using and test si nihtanee level we can to fail invert or 4, Run the test and make observations: After runing thu test, siartfonte kvels wul Now, take a look at the data in 1 As youi see the data below is already compiled into a n k summary table we d have a line for every baby we have a line for each day of the week n telling us how many babies born that day. so, as the data is already summarized, we will have to calculate our test statistic by hand...o

Explanation / Answer

5) Interpret test statistic:

since caculated value of Chi-squre is greater than the tabulated value,

i.e., 15.04>12.53, it is significant at 5% level of significance and we reject the Null hypothesis

6) Conclusion:

   Hence,we conclude that babies are not born in eqal frequencies on each day of the week in the U.S.

Follow up:

* Confounding Varibles: A Confounding variable is a variable in a quantitative research study that explains some or all of the correlation between the dependent variable and an independent variable.

* Independent variable: Gender

dependent variable : weight

and confounding variable : time of a day or day of a week.

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