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 200 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.Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (fO-fE)2/fE responses to three or more decimal places.*** Part d is a yes or no question!! Please find the type of statistic and the degree of freedom for the problem please!

Winter Spring Summer Fall Total X 2 Observed frequency 44 48 43 65 200 So Expected frequency 0 50.00 50,00 SE ( So SE ) 0.080 4.500 SE Part 2 Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.05 level of significance for the test. (a) Determine the type of test statistic to use. X 5 ? Type of test statistic: (Choose one) V (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) (c) Find the critical value. (Round your answer to two or more decimal places.) (d) Can we reject the hypothesis that birthdays are equally likely during each season of the year