# Answer in Statistics and Probability for Glen Lincon #272686

b) Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities, The following tables show the responses from a sample of 100 persons. Gender of Respondent Totals Male Female Quality of Facilities Above Average 8 7 15 Average 26 24 50 Below Average 7 28 35 Totals 41 59 100 A 2 test is carried out to determine whether there is an association between the gender of persons and their opinion. i) State appropriate null and alternative hypotheses [2] ii) Determine the critical region of the test at the 1% level of significance [1] iii) Calculate the expected value for Male and below average [2] iv) For a test statistic of 9.825, explain with reason, the conclusion of your test. [

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Answer in Statistics and Probability for Glen Lincon #272686
Just from $13/Page “i)” The hypotheses for this problem are, “H_0:” gender of persons and their opinion on the quality of the restroom facilities are independent. “Against” “H_1:” Gender of persons and their opinion on the quality of the restroom facilities are not independent. “ii)” To determine the critical region, we need to find the degrees of freedom as follows, The degrees of freedom for this test are given as, “df=(r-1)(c-1)” where “r=3” is the number of rows and “c=2” is the number of columns. Therefore, the number of degrees of freedom is “df=(3-1)(2-1)=2*1=2”. Thus, the critical region at “\alpha=0.01” is given as, “\chi^2_{\alpha,2}=\chi^2_{0.01,2}=9.21034” “iii)” The expected value for Male and below average is found using the formula below, “E_{ij}=(r_i*c_j)/n” where “n=100” . “r_i” is the row total and “c_j” is the column total. For this case, “i=3” and “j=1”. Therefore, the expected count is, “E_{31}=(r_3*c_1)/n=(35*41)/100=14.35” “iv)” The test statistic “\chi^2_c=9.825” is compared with the table value provided in “(ii)” above and the null hypothesis is rejected if “\chi^2_c\gt \chi^2_{0.01,2}” . Since “\chi^2_{c}=9.825\gt \chi^2_{0.01,2}=9.21034”, we reject the null hypothesis and conclude that there is no sufficient evidence to show that gender of persons and their opinion on the quality of the restroom facilities are independent. Therefore, there is an association between gender of persons and their opinion on the quality of the restroom facilities. # What Will You Get? We provide professional writing services to help you score straight A’s by submitting custom written assignments that mirror your guidelines. #### Premium Quality Get result-oriented writing and never worry about grades anymore. We follow the highest quality standards to make sure that you get perfect assignments. #### Experienced Writers Our writers have experience in dealing with papers of every educational level. You can surely rely on the expertise of our qualified professionals. #### On-Time Delivery Your deadline is our threshold for success and we take it very seriously. We make sure you receive your papers before your predefined time. #### 24/7 Customer Support Someone from our customer support team is always here to respond to your questions. So, hit us up if you have got any ambiguity or concern. #### Complete Confidentiality Sit back and relax while we help you out with writing your papers. We have an ultimate policy for keeping your personal and order-related details a secret. #### Authentic Sources We assure you that your document will be thoroughly checked for plagiarism and grammatical errors as we use highly authentic and licit sources. #### Moneyback Guarantee Still reluctant about placing an order? Our 100% Moneyback Guarantee backs you up on rare occasions where you aren’t satisfied with the writing. #### Order Tracking You don’t have to wait for an update for hours; you can track the progress of your order any time you want. We share the status after each step. #### Areas of Expertise Although you can leverage our expertise for any writing task, we have a knack for creating flawless papers for the following document types. # Trusted Partner of 9650+ Students for Writing From brainstorming your paper's outline to perfecting its grammar, we perform every step carefully to make your paper worthy of A grade. ##### Preferred Writer Hire your preferred writer anytime. Simply specify if you want your preferred expert to write your paper and we’ll make that happen. ##### Grammar Check Report Get an elaborate and authentic grammar check report with your work to have the grammar goodness sealed in your document. ##### One Page Summary You can purchase this feature if you want our writers to sum up your paper in the form of a concise and well-articulated summary. ##### Plagiarism Report You don’t have to worry about plagiarism anymore. Get a plagiarism report to certify the uniqueness of your work. ## Free Features$66FREE

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