The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Business. Humanities Percent of Books on Subject in Circulation Library on This Subject State the null and alternate hypotheses. O Ho: The distributions are different. H: The distributions are the same. O Ho: The distributions are the same. H: The distributions are the same. O Ho: The distributions are the same. H: The distributions are different. O Ho: The distributions are different. H: The distributions are different.. Natural Science Social Science All other subjects Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance? O No Are all the expected frequencies greater than 5? Yes 32% 25% 20% 15% 8% (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to three decimal places. Round the test statistic to three decimal places.) What sampling distribution will you use? O chi-square O Student's t O binomial O uniform O normal Number of Books in Sample on This Subject 279 What are the degrees of freedom? 201 214 124 70