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 asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 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. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to use.) A. Find the value of the test statistic. (Round your answer to two or more decimal places.) B. Find the critical value. (Round your answer to two or more decimal places.)C. Can we reject the hypothesis that birthdays are equally likely during each season of the year? ←Answered: ta were obtaine XLenovo SupportSer93°FSunnyLenovoPart 2Observedfrequencyfo● CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND ANOVAChi-square goodness-of-fit testto ExcelExpectedfrequencyJEExplanationhttps://www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IQirVmXK7o_zpyaAMkjWKJh-pmWc8lyVwdR5qX8cNG0ThHbIMUm2b...Sign In E Choose Databases:...2(ƒo¯ƒE)²JEMcAfeeStudents HomeWinter Spring42Check45.200Wilmington Univers...4645.000.022SummerX5445.001.800McGraw Hill CampusFall38451.0889Total180X A ALEKS - Andrew Slawik - L X b My Questions | bartleby XO×Farming Systems an...Answer the following to summarize the test of the hypothesis that birthdays are equally likely during each season of the year. Use the 0.10 level ofHMicrosoft Word - af...+Religion and social...3/5IOAndrewAaxK:Español>© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility2:36 PM7/23/2022 (c) Finding the critical value2The value that cuts off an area of 0.10 in the right tail of a chi-square distribution with 4 degrees of freedom is about 7.78, that is, X0.107.78for this distribution. Thus, the critical value for our test is 7.78. See the figure below. We consider only the right tail probability because only largevalues of the test statistic will lead us to reject the null hypothesis.Rejection region for a - 0.107.78

Given : Winter Spring Summer Fall Observed frequency fO 42 46 54 38 180 Expected…

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 asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 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. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to use.) A. Find the value of the test statistic. (Round your answer to two or more decimal places.) B. Find the critical value. (Round your answer to two or more decimal places.) C. Can we reject the hypothesis that birthdays are equally likely during each season of the year

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 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. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to use.)

A. Find the value of the test statistic. (Round your answer to two or more decimal places.)

B. Find the critical value. (Round your answer to two or more decimal places.)

C. Can we reject the hypothesis that birthdays are equally likely during each season of the year?