[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314873-105":59,"doc-detail-314873-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","chapter-9-practice-test","Chapter 9 - Practice Test","","Multiple-choice practice problems focus on hypothesis testing and confidence intervals, especially for proportions and means. The exercises cover interpreting P-values, formulating null and alternative hypotheses, conducting significance tests at specified levels, identifying required assumptions for t-tests, and understanding how sample size and significance level affect test power. Additional questions apply paired t-procedures to pre/post data and use hypothesis testing to evaluate claims about tortilla chip net weight and analyze an early cancer treatment trial with a t-test that is not statistically significant.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/chapter-9-practice-test/314873/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/chapter-9-practice-test/314873.png","ImageObject",300,407,{"name":92,"@type":93},"Melati","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you interpret a P-value for testing a hypothesis about a proportion or mean?","Question",{"text":112,"@type":113},"Compare the P-value to the chosen significance level (alpha). If the P-value is at or below alpha, there is sufficient evidence to reject H0; otherwise you fail to reject H0.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What conditions are required to perform a t-test for an unknown population mean?",{"text":117,"@type":113},"The data should come from a simple random sample, the observations must be independent, and the population distribution should be Normal or the sample size should be large (e.g., n > 30).",{"name":119,"@type":110,"acceptedAnswer":120},"In a paired t-test, which distribution must be approximately Normal?",{"text":121,"@type":113},"The distribution of the differences (after − before) should be approximately Normal to justify the paired t-procedure.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},314873,1790074306,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144,"preview_page_count":4},962085570644,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Part 1: Multiple Choice. Circle the letter corresponding to the best answer.  \n1. In a test of H0 : p = 0.7 against Ha: p 􀁺 0.7, a sample of size 80 produces z = 0.8 for the value of the test statistic. Which of the following is closest to the P-value of the test?  \n(a) 0.2090 (b) 0.2119 (c) 0.4238 (d) 0.4681  \n(e) 0.7881  \n2. An opinion poll asks a simple random sample of 100 college seniors how they view their job prospects. In all, 53 say “good.” Does the poll give convincing evidence to conclude that more than half of all seniors think their job prospects are good? Ifp = the proportion of all college seniors who say their job prospects are good, what are the the hypotheses for a test to answer this question?  \n(a) H0 : p = 0.5, Ha: p > 0.5.  \n(b) H0 : p > 0.5, Ha: p = 0.5.  \n(c) H0 : p = 0.5, Ha: p 􀁺 0.5.  \n(d) H0 : p = 0.5, Ha: p \u003C 0.5.  \n(e) H0 : p 􀁺 0.5, Ha: p > 0.5.  \n3. In a test of H0 : µ = 100 against Ha: µ 􀁺 100, a sample of size 10 produces a sample mean of  \n103 and a P-value of 0.08. Which of the following is true at the 0.05 level of significance?  \n(a) There is sufficient evidence to conclude that µ 􀁺 100.  \n(b) There is sufficient evidence to conclude that µ = 100.  \n(c) There is insufficient evidence to conclude that µ = 100.  \n(d) There is insufficient evidence to conclude that µ 􀁺 100.  \n(e) There is sufficient evidence to conclude that µ > 103.  \n4. Which of the following is not a required condition for performing a t-test about an unknown population mean 􀁐 ?  \n(a) The data can be viewed as a simple random sample from the population of interest.  \n(b) The population standard deviation 􀁖 is known.  \n(c) The population distribution is Normal or the sample size is large (say n > 30) .  \n(d) The data represent n independent observations.  \n(e) All four of the above are required conditions.  \n© 2011 BFW Publishers The Practice of Statistics, 4/e-Chapter 9 431  \n5. An appropriate 95% confidence interval for µ has been calculated as ( 􀀐 0.73, 1.92 ) based on n = 15 observations from a population with a Normal distribution. If we wish to use this confidence interval to test the hypothesis H0 : µ = 0 against Ha: µ 􀁺 0, which of the following is a legitimate conclusion?  \n(a) Reject H0 at the 􀁄 = 0.05 level of significance.  \n(b) Fail to reject H0 at the 􀁄 = 0.05 level of significance.  \n(c) Reject H0 at the 􀁄 = 0.10 level of significance.  \n(d) Fail to reject H0 at the 􀁄 = 0.10 level of significance.  \n(e) We cannot perform the required test since we do not know the value of the test statistic.  \n6. Which of the following increases the power of a significance test?  \n(a) Using a two-tailed test instead of a one-tailed test.  \n(b) Decreasing the size of your sample.  \n(c) Finding a way to increase the population standard deviation 􀁖 .  \n(d) Increasing the significance level 􀁄 .  \n(e) Perform the test many times using the same data.  \n7. The infamous psychologist, Dr. Visegrips, claims that his secret sleep tapes cause people to become better at basic algebra “All you have to do,” the doctor explains,“is listen to my tapes while you sleep at night, and you’ll be better at algebra in two months” A math teacher at a local high school has expressed interest but demands evidence. Five people are randomly selected from students at the school. They take an algebra skills test, listen to Dr. Visegrips’tape for two months while they sleep, and then take a second test. The test scores are as follows:  \n\n|  | Test scores |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Person | A | B | C | D | E |\n| Pre-test | 68 | 69 | 74 | 71 | 65 |\n| Post-test | 70 | 68 | 75 | 72 | 68 |\n\nWhich of the following conditions must be met in order to use a t-procedure on these paired data?  \n(a) The distribution of both pre-test scores and post-test scores must be approximately Normal.  \n(b) The distribution of pre-test scores and the distribution of differences (after – before) must be approximately Normal.  \n(c) Only the distribution of p","cbCaitCEj8szMvU9","https://ap.wps.com/l/cbCaitCEj8szMvU9","pdf",127494,"English","# Multiple Choice Practice\n## Proportion and P-value\n## Mean tests and significance levels\n## t-test conditions and paired data\n## Power and Type I error\n## Applied scenarios","[{\"question\":\"How do you interpret a P-value for testing a hypothesis about a proportion or mean?\",\"answer\":\"Compare the P-value to the chosen significance level (alpha). If the P-value is at or below alpha, there is sufficient evidence to reject H0; otherwise you fail to reject H0.\"},{\"question\":\"What conditions are required to perform a t-test for an unknown population mean?\",\"answer\":\"The data should come from a simple random sample, the observations must be independent, and the population distribution should be Normal or the sample size should be large (e.g., n \\u003e 30).\"},{\"question\":\"In a paired t-test, which distribution must be approximately Normal?\",\"answer\":\"The distribution of the differences (after − before) should be approximately Normal to justify the paired t-procedure.\"}]","Chapter 9 - Practice Test | PDF",1789902007,13]