common during some parts of the year than others Owners of a

Last updated: 5/31/2023

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 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 So Se JE Part 1 Fill in the missing values in the table Round your responses for the expected frequencies to two or more decimal places Round your Jo JE responses to three or more decimal places fe Send data to Excel Observed frequency lo Expected frequency JE Observed frequency Expected frequency Expected frequency So Se fe Winter Spring Summer 35 0 0 45 0 0 44 47 50 0 258 Fall Total 66 47 50 7 205 a Determine the type of test statistic to use 190 X 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 the test Type of test statistic Choose one b Find the value of the test statistic Round your answer to two or more decimal places 0 c Find the p value Round your answer to three or more decimal places 0 d Can we reject the hypothesis that birthdays are equally likely during each season of the year 6 E