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“Bus 105 Assignment template, Do not worry about the word limit, replace the highlighted sections with your own work. Use common sense when considering the Turnitin match, if it is section is highlighted and you did not plagiarise anything then don’t worry about it “ “Overview : To get marks my assignment has to show I am capable producing a report like the sample report. The following 7 sections demonstrate I can produce a report like the sample report Section 1 :Demonstrates I can reproduce the following computer output of the report using the sample allocated to me on moodle. Details of exactly how the computer does simple calculations is provided a) Summary of the variable ‘does the customer want a unisex gym’ just considering the females b) Summary that lets you investigate the relationship between the variable ‘time on cardio machine’ and the variable ‘time on weight machine’ c) Summary that lets you investigate the relationship between the variable ‘does the customer want a unisex gym’ and ‘gender’ d) Summary that lets you investigate the relationship between the variable ‘time spent on the cardio machine’ and ‘gender’ Section 2 :Demonstrates I can calculate the following using my own sample a) The confidence interval for the proportion of females that want a unisex gym b) The confidence interval for the proportion of males that want a unisex gym c) The test stat for testing the claim the majority of females want a unisex gym, this is the zscore of sample proportion assuming the population proportion is 0.5 d) The test stat for testing the claim the majority of males want a unisex gym, this is the zscore of sample proportion assuming the population proportion is 0.5 Section 3 :Demonstrates I can decide the appropriate method to summarize data based on the nature of data (the variable types) There are two reasons for this a) I can explain why the different main findings in the report use different methods to summarize data. b) I can find article that discusses gyms and give an appropriate numerical summary using the dataset and state if the article agrees or disagrees with the summary. Section 4 Demonstrates I can use a webpage that does all the calculations required for a hypothesis test because I do this using my allocated sample. Section 5 Appropriate simple conclusions based on the computer output of hypothesis tests Section 6 Demonstrates I can explain the structure of a good report that uses statistics Section 7 Demonstrates I can roughly explain the hypothesis tests used in the sample report including why you think concept of H0 and H1 is or is not useful“ “Section 1 reproduction of the data summaries including details of simple calculations 1a) Summary of the variable ‘do the customers want a unisex gym’ just considering the females “ Refer to the section 1a draft instructions, check your 1a draft comments to see if there are any issues , if the mark is 100/0 there are no issues Sample 200 Gender Female Row Labels Count of Should the gym be Unisex? No 18 Yes 30 Grand Total 48 Calculate the sample proportion that say yes and add a simple comment “ 1b) Summary of the relationship between the variables ‘time on cardio machine’ and ‘time on weight machine’ “ Refer to the section 1b draft instructions, check your 1a draft comments to see if there are any issues , if the mark is 100/0 there are no issues Add a simple comment “1c) Summary that lets you investigate the relationship between the variable ‘does the customer want a unisex gym’ and ‘gender’ “ Refer to the section 1c draft instructions, check your 1a draft comments to see if there are any issues , if the mark is 100/0 there are no issues Should the gym by unisex Row Labels No yes Grand Total Female 21 39 60 Male 32 8 40 Grand Total 53 47 100 Count of Should the gym be Unisex? Column Labels Row Labels No Yes Grand Total Female 35.00% 65.00% 100.00% Male 80.00% 20.00% 100.00% Grand Total 53.00% 47.00% 100.00% Add a simple comment , back up your comment with an appropriate calculation “1d)Summary that lets you investigate the relationship between the variable ‘time spent on the cardio machine ’ and ‘gender’ “ Refer to the section 1d draft instructions, check your 1a draft comments to see if there are any issues , if the mark is 100/0 there are no issues Row Labels Count of gender Average of Minutes on Cardio StdDev of Minutes on Cardio Female 60 37.58333333 16.35132469 Male 40 13.625 13.15526121 Grand Total 100 28 19.14854216 Add a simple comment Add a simple comment , back up your comment with an appropriate calculation “Section 2: calculation of confidence intervals and test statistics 2a) Calculation of confidence interval for the proportion of females that prefer a Unisex gym using my allocated sample” Note you use the information from section 1c 90% confidence interval for sample proportion for females Should the gym by unisex Row Labels No Yes Grand Total Female 21 39 60 Male 32 8 40 Grand Total 53 47 100 Just considering the females n=60, sample proportion = 39/60=0.65 standard error of sample proportion = 0.061577 90% confident the true proportion is between 0.65-1.645* 0.061577=0.55 and 0.65+1.645* 0.061577=0.75 “2b) Calculation of confidence interval for the proportion of males that prefer a Unisex gym using my allocated sample” Note you use the information from section 1c 90% confidence interval for sample proportion for males Should the gym by unisex Row Labels No Yes Grand Total Female 21 39 60 Male 32 8 40 Grand Total 53 47 100 Just considering the males n=40, sample proportion = 8/40=0.2 standard error of sample proportion = 0.063246 90% confident the true proportion is between 0.2-1.645* 0.063246 =0.095 and 0.2+1.645* 0.063246=0.305 “2c) Calculation of Test stat for checking if the females that want a unisex gym is above 50% (Find the sample proportion’s zscore assuming p=0.5) using my allocated sample” Note you use the information from section 1c Test stat assume p=0.5 Should the gym by unisex Row Labels No Yes Grand Total Female 21 39 60 Male 32 8 40 Grand Total 53 47 100 just considering the females n=60, sample proportion = 39/60=0.65 = “2d) Calculation of Test stat for checking if the males that want a unisex gym is above 50% (find the z score of proportion assuming p=0.5) using my allocated sample” Note you use the information from section 1c Test stat for checking if the males that want a unisex gym is above 50% Should the gym by unisex Row Labels No Yes Grand Total Female 21 39 60 Male 32 8 40 Grand Total 53 47 100 just considering the males n=40, sample proportion =8/40=0.2 = “Section 3 Evidence I can decide the appropriate method to summarize data based on the nature of data (the variable types) a) My explanation why the different main findings in the sample report use different methods to summarize data. “ Discuss why the sample report used different methods for summarizing data , you can paraphrase related examples from the guide to summarizing datasets . Make sure you discuss the summaries of the survey dataset in the sample report ,what are the variables and how do you find the relationship between variables b) “My summary of an article that discusses gyms and an appropriate numerical summary using my allocated sample from the section 3 dataset” Find an article or webpage related to the section 3 dataset, it is probably easiest to find an article related to variable 1 gender and variable 17 body shame. Paste in a summary of the article and give a related analysis (Give a summary of the dataset that lets you investigate the relationship between the two relevant variables and add a comment) Mention if your summary agrees or disagrees with the data set, Students Note: If your summary uses the same variables as any of the summaries in section 1 you will also have to provide a summary that shows the relationship between two variables not used in section 1. “Section 4 my discussion of the webpages used to do all the calculation of a hypothesis tests 4a use a webpage to do a hypothesis test of the difference between two proportions using my allocated sample Using http://www.socscistatistics.com/tests/ztest/Default2.aspx “ Enter the information in section 1c into the webpage , to and get a screenshot use the prt scr key, this will copy the screen, use ctrl+V to paste it into word “”“4b) a use a webpage to do a hypothesis test of the difference between two means using my allocated sample Using https://www.graphpad.com/quickcalcs/ttest1/?Format=SD “ Enter the information in section 1d into the webpage , to and get a screenshot use the prt scr key, this will copy the screen, use ctrl+V to paste it into word “The output is “ “Section 5 Appropriate simple conclusions based on the computer output of hypothesis tests in section 4” Make simple conclusions based on the output to section 4 “Section 6 Demonstrates I can explain the structure of a good report that uses statistics “ Discuss the structure of the sample report. What is the main “message” of the report and how does the structure of the report make the message clear? If you think there is a flaw in the structure discuss that as well. “Section 7 Demonstrates I can explain the hypothesis tests used in report and hypothesis testing in general“ Make sure you actually refer to the hypothesis tests used in the report, In particular discuss the p-value and conclusion for all 4 hypothesis tests used in the sample report . Why did the author of the report find p-values? When you discuss the hypothesis tests mention the following: Are Hypothesis tests easy to understand? Should you use a computer to perform Hypothesis tests? H0 and H1 type I error and type II error (Student’s note: this is Optional, however it will probably help you discuss the hypothesis tests in the sample report) Students also note: It is acceptable to explain how the different parts of hypothesis testing are useful, but it is also OK to explain that parts of hypothesis testing are not particularly useful in certain. For example many tutorials for the software that discuss p-value do not discuss H0 and H1. H0 and H1 can be useful in the planning stage but if you already have the sample the concept of H0 may only have a limited value References Paste in the reference to the article used in section 3b Appendix Paste in the article used in section 3b Minutes on Weight machiney = -0.7029x + 34.481 R² = 0.8062 15255560105510353040450202510353554530101550301525202025155251555201015103550501552015035201510452520051055002040355550515154520254530254560602520204040153540554055105155555252054505030302000350401500545302530554500403505255152015252552002540202050015303025401515202051025352520035503050303503020155201505250005252000300100003535350052045540010Time spent on cardio Machine Time spent