Research has suggested a link between the prevalence of schizophrenia and birth during particular months of the year in which viral infections are prevalent. Suppose you are working on a similar problem and you suspect a linkage between a disease observed in later life and month of birth. You have records of 400 cases of the disease, and you classify them according to month of birth. The data appear in the table. Do the data present sufficient evidence to indicate that the proportion of cases of the disease per month varies from month to month? Test with α = .05.

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Month Jan Feb Ma Apr May June Births 38 3 42 46 28 31 Month | July Aug Sept Oct Nov Dec Births 24 29 33 36 27 35