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# The Association Between Maternal Age and Birth Weight

A small pilot study is being conducted to determine the association between maternal age and birth weight.

First, from all the single births in 2009 at Hospital X with mothers aged less than or equal to 20 years, we randomly selected 15 records. We also selected randomly 17 records from all the single births with mothers aged > 20 years. Then we classified each newborn as weighting less than or equal to 2500 grams or > 2500 grams.

a) State the relevant null and alternative hypotheses.
b) Using a type I error level of 0.05, perform the appropriate statistical test.
c) Explain your results in 2-3 sentences.
d) If we extended the study and randomly selected 230 records from all the single births in 2009 at Hospital X (the data is shown below), would the maternal age be related to the birth-weight of the infant? Conduct test of hypothesis. Interpret the results.

#### Solution Summary

The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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