The following data represent the discrete probability distribution for the number of stars that reviewers gave a first edition statistics reference book.
stars 5 4 3 2 1
probability 25% 35% 20% 10% 10%
the second edition of this reference book has been released and a random sample of people that have purchased the book has been collected with the following results.
stars 5 4 3 2 1
frequency 28 28 13 6 5
1. the publisher would like to know if the probability distribution for reviews has changed from the first edition to the second edition using α = 0.025
2. what is the test statistic for this sample? round to two decimal places.