Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this...

Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this question. Some data collected by the chain are summarized in the table below.

The data were obtained from a random sample of 190 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories.

Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the

 level of significance for the test.

Extracted text: Send data to Excel Winter Spring Summer Fall Total Observed frequency 45 39 50 56 190 fo Expected frequency 47.50 47.50 47.50 47.50 fE (fo fa fE 0.132 1.521] 0.132 1.521