{"id":5177,"date":"2022-08-18T18:57:31","date_gmt":"2022-08-18T18:57:31","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=5177"},"modified":"2022-08-18T18:57:31","modified_gmt":"2022-08-18T18:57:31","slug":"9a-coreq","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/9a-coreq\/","title":{"raw":"9A Coreq","rendered":"9A Coreq"},"content":{"raw":"In the next preview assignment and in the next class, you will need to identify the\u00a0 difference between a sample and a population, know how to create a dotplot, and\u00a0 calculate a proportion.\r\n\r\nDefinitions\r\n\r\nPopulation: The population is the entire collection of individuals or objects that you\u00a0 want to learn about.[footnote]Peck, R., Short, T., & Olsen, C. (2019). Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc.[\/footnote]\r\n\r\nSample: A sample is a part of the population that is selected for study.[footnote]Peck, R., Short, T., & Olsen, C. (2019). Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc.[\/footnote] Samples, Populations, and Proportions\r\n\r\nA survey is administered to undergraduate students at a college in Nebraska about their\u00a0 attitudes on the new learning management system used in all courses. Of the 40,322\u00a0 students enrolled at the college, a random sample of 2,500 students were surveyed.\r\n
\r\n

Question 1<\/h3>\r\nWhat is the population?\r\n\r\n<\/div>\r\n
\r\n

Question 2<\/h3>\r\nWhat is the sample?\r\n\r\n<\/div>\r\n
\r\n

Question 3<\/h3>\r\nThe number of students who responded to a question on the survey about the new\u00a0 learning management system with \u201cDisagree\u201d was 430. What is the proportion of\u00a0 students who responded with \u201cDisagree\u201d to the survey question?\r\n\r\n<\/div>\r\n
\r\n

Question 4<\/h3>\r\nThe number of students who responded to the survey was 1,350 students. What is\u00a0 the proportion of students who responded to the survey?\r\n\r\n<\/div>\r\nIn Questions 5\u201311, we will be using a subset of school diversity data from 28 school\u00a0 districts in Nebraska. Locate spreadsheet DCMP_STAT_9A_School_Diversity.\r\n\r\nThere is a total of 28 observations in this subset of data. The first eight (of the 28)\u00a0 observations are shown in the following table.\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
State<\/td>\r\nLocation Type<\/td>\r\nSchool Year<\/td>\r\nAIAN<\/td>\r\nAsian<\/td>\r\nBlack<\/td>\r\nHispanic<\/td>\r\nWhite<\/td>\r\nMulti<\/td>\r\nTotal<\/td>\r\nDiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-distant<\/td>\r\n2016\u20132017<\/td>\r\n0.32<\/td>\r\n1.11<\/td>\r\n0.32<\/td>\r\n7.90<\/td>\r\n89.26<\/td>\r\n1.11<\/td>\r\n633<\/td>\r\nUndiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nCity-small<\/td>\r\n2016\u20132017<\/td>\r\n0.89<\/td>\r\n1.78<\/td>\r\n4.96<\/td>\r\n49.75<\/td>\r\n42.62<\/td>\r\n0.00<\/td>\r\n9905<\/td>\r\nDiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-fringe<\/td>\r\n2016\u20132017<\/td>\r\n0.45<\/td>\r\n0.90<\/td>\r\n1.12<\/td>\r\n3.71<\/td>\r\n90.55<\/td>\r\n3.26<\/td>\r\n889<\/td>\r\nExtremely\u00a0 undiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-distant<\/td>\r\n2016\u20132017<\/td>\r\n12.66<\/td>\r\n0.00<\/td>\r\n26.58<\/td>\r\n20.25<\/td>\r\n36.71<\/td>\r\n3.80<\/td>\r\n79<\/td>\r\nDiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-distant<\/td>\r\n2016\u20132017<\/td>\r\n0.36<\/td>\r\n2.68<\/td>\r\n1.03<\/td>\r\n57.99<\/td>\r\n36.75<\/td>\r\n1.19<\/td>\r\n1940<\/td>\r\nDiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-distant<\/td>\r\n2016\u20132017<\/td>\r\n0.24<\/td>\r\n0.56<\/td>\r\n1.12<\/td>\r\n6.63<\/td>\r\n89.13<\/td>\r\n2.32<\/td>\r\n1251<\/td>\r\nUndiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nTown-distant<\/td>\r\n2016\u20132017<\/td>\r\n0.38<\/td>\r\n0.89<\/td>\r\n0.80<\/td>\r\n4.79<\/td>\r\n90.70<\/td>\r\n2.44<\/td>\r\n2130<\/td>\r\nExtremely\u00a0 undiverse<\/td>\r\n<\/tr>\r\n
NE<\/td>\r\nSuburban-large<\/td>\r\n2016\u20132017<\/td>\r\n0.81<\/td>\r\n2.31<\/td>\r\n8.35<\/td>\r\n13.23<\/td>\r\n69.83<\/td>\r\n5.46<\/td>\r\n10028<\/td>\r\nDiverse<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nThe 11 variables are defined as:\r\n\r\nState: NE\r\n\r\nLocation Type: Type of school district location: \u201ctown-distant,\u201d \u201ccity-small,\u201d \u201ctown fringe,\u201d \u201csuburban-large,\u201d or \u201ccity-large\u201d\r\n\r\nSchool Year\r\n\r\nAIAN: American Indian and Alaska native proportion of student population\r\n\r\nAsian: Asian proportion of student population\r\n\r\nBlack: Black proportion of student population\r\n\r\nHispanic: Hispanic proportion of student population\r\n\r\nWhite: White proportion of student population\r\n\r\nMulti: Multi-ethnic proportion of student population\r\n\r\nTotal: Total student body count\r\n\r\nDiverse: Diversity rating (diverse, undiverse, or extremely undiverse)\r\n\r\n<\/div>\r\n
\r\n

Question 5<\/h3>\r\nCreate a dotplot for the variable Asian.\r\n\r\n<\/div>\r\n
\r\n

Question 6<\/h3>\r\nWhat is the mean proportion of students who are Asian?\r\n\r\n<\/div>\r\n
\r\n

Question 7<\/h3>\r\nWhat is the standard deviation?\r\n\r\n<\/div>\r\n
\r\n

Question 8<\/h3>\r\nCreate another dotplot using a different race\/ethnicity variable. The variable options\u00a0 are AIAN, Black, Hispanic, White, or Multi.\r\n\r\n<\/div>\r\n
\r\n

Question 9<\/h3>\r\nWhat is the mean and standard deviation for the variable you picked in Question 8?\r\n\r\n<\/div>\r\n
\r\n

Question 10<\/h3>\r\nCompare the means and standard deviations in Questions 6, 7, and 9.\r\n\r\n<\/div>\r\n
\r\n

Question 11<\/h3>\r\nIn the subset data, there are three categories for the variable Diverse (diverse,\u00a0 undiverse, and extremely undiverse). What is the proportion of school districts in\u00a0 Nebraska that are extremely undiverse?\r\n\r\n<\/div>\r\n ","rendered":"

In the next preview assignment and in the next class, you will need to identify the\u00a0 difference between a sample and a population, know how to create a dotplot, and\u00a0 calculate a proportion.<\/p>\n

Definitions<\/p>\n

Population: The population is the entire collection of individuals or objects that you\u00a0 want to learn about.[1]<\/sup><\/a><\/p>\n

Sample: A sample is a part of the population that is selected for study.[2]<\/sup><\/a> Samples, Populations, and Proportions<\/p>\n

A survey is administered to undergraduate students at a college in Nebraska about their\u00a0 attitudes on the new learning management system used in all courses. Of the 40,322\u00a0 students enrolled at the college, a random sample of 2,500 students were surveyed.<\/p>\n

\n

Question 1<\/h3>\n

What is the population?<\/p>\n<\/div>\n

\n

Question 2<\/h3>\n

What is the sample?<\/p>\n<\/div>\n

\n

Question 3<\/h3>\n

The number of students who responded to a question on the survey about the new\u00a0 learning management system with \u201cDisagree\u201d was 430. What is the proportion of\u00a0 students who responded with \u201cDisagree\u201d to the survey question?<\/p>\n<\/div>\n

\n

Question 4<\/h3>\n

The number of students who responded to the survey was 1,350 students. What is\u00a0 the proportion of students who responded to the survey?<\/p>\n<\/div>\n

In Questions 5\u201311, we will be using a subset of school diversity data from 28 school\u00a0 districts in Nebraska. Locate spreadsheet DCMP_STAT_9A_School_Diversity.<\/p>\n

There is a total of 28 observations in this subset of data. The first eight (of the 28)\u00a0 observations are shown in the following table.<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n
State<\/td>\nLocation Type<\/td>\nSchool Year<\/td>\nAIAN<\/td>\nAsian<\/td>\nBlack<\/td>\nHispanic<\/td>\nWhite<\/td>\nMulti<\/td>\nTotal<\/td>\nDiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-distant<\/td>\n2016\u20132017<\/td>\n0.32<\/td>\n1.11<\/td>\n0.32<\/td>\n7.90<\/td>\n89.26<\/td>\n1.11<\/td>\n633<\/td>\nUndiverse<\/td>\n<\/tr>\n
NE<\/td>\nCity-small<\/td>\n2016\u20132017<\/td>\n0.89<\/td>\n1.78<\/td>\n4.96<\/td>\n49.75<\/td>\n42.62<\/td>\n0.00<\/td>\n9905<\/td>\nDiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-fringe<\/td>\n2016\u20132017<\/td>\n0.45<\/td>\n0.90<\/td>\n1.12<\/td>\n3.71<\/td>\n90.55<\/td>\n3.26<\/td>\n889<\/td>\nExtremely\u00a0 undiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-distant<\/td>\n2016\u20132017<\/td>\n12.66<\/td>\n0.00<\/td>\n26.58<\/td>\n20.25<\/td>\n36.71<\/td>\n3.80<\/td>\n79<\/td>\nDiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-distant<\/td>\n2016\u20132017<\/td>\n0.36<\/td>\n2.68<\/td>\n1.03<\/td>\n57.99<\/td>\n36.75<\/td>\n1.19<\/td>\n1940<\/td>\nDiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-distant<\/td>\n2016\u20132017<\/td>\n0.24<\/td>\n0.56<\/td>\n1.12<\/td>\n6.63<\/td>\n89.13<\/td>\n2.32<\/td>\n1251<\/td>\nUndiverse<\/td>\n<\/tr>\n
NE<\/td>\nTown-distant<\/td>\n2016\u20132017<\/td>\n0.38<\/td>\n0.89<\/td>\n0.80<\/td>\n4.79<\/td>\n90.70<\/td>\n2.44<\/td>\n2130<\/td>\nExtremely\u00a0 undiverse<\/td>\n<\/tr>\n
NE<\/td>\nSuburban-large<\/td>\n2016\u20132017<\/td>\n0.81<\/td>\n2.31<\/td>\n8.35<\/td>\n13.23<\/td>\n69.83<\/td>\n5.46<\/td>\n10028<\/td>\nDiverse<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The 11 variables are defined as:<\/p>\n

State: NE<\/p>\n

Location Type: Type of school district location: \u201ctown-distant,\u201d \u201ccity-small,\u201d \u201ctown fringe,\u201d \u201csuburban-large,\u201d or \u201ccity-large\u201d<\/p>\n

School Year<\/p>\n

AIAN: American Indian and Alaska native proportion of student population<\/p>\n

Asian: Asian proportion of student population<\/p>\n

Black: Black proportion of student population<\/p>\n

Hispanic: Hispanic proportion of student population<\/p>\n

White: White proportion of student population<\/p>\n

Multi: Multi-ethnic proportion of student population<\/p>\n

Total: Total student body count<\/p>\n

Diverse: Diversity rating (diverse, undiverse, or extremely undiverse)<\/p>\n<\/div>\n

\n

Question 5<\/h3>\n

Create a dotplot for the variable Asian.<\/p>\n<\/div>\n

\n

Question 6<\/h3>\n

What is the mean proportion of students who are Asian?<\/p>\n<\/div>\n

\n

Question 7<\/h3>\n

What is the standard deviation?<\/p>\n<\/div>\n

\n

Question 8<\/h3>\n

Create another dotplot using a different race\/ethnicity variable. The variable options\u00a0 are AIAN, Black, Hispanic, White, or Multi.<\/p>\n<\/div>\n

\n

Question 9<\/h3>\n

What is the mean and standard deviation for the variable you picked in Question 8?<\/p>\n<\/div>\n

\n

Question 10<\/h3>\n

Compare the means and standard deviations in Questions 6, 7, and 9.<\/p>\n<\/div>\n

\n

Question 11<\/h3>\n

In the subset data, there are three categories for the variable Diverse (diverse,\u00a0 undiverse, and extremely undiverse). What is the proportion of school districts in\u00a0 Nebraska that are extremely undiverse?<\/p>\n<\/div>\n

 <\/p>\n

  1. Peck, R., Short, T., & Olsen, C. (2019). Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc. ↵<\/a><\/li>
  2. Peck, R., Short, T., & Olsen, C. (2019). Statistics: Learning from data, AP edition.<\/em> Cengage Learning, Inc. ↵<\/a><\/li><\/ol><\/div>","protected":false},"author":574340,"menu_order":1,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5177","chapter","type-chapter","status-publish","hentry"],"part":5175,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5177","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/574340"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5177\/revisions"}],"predecessor-version":[{"id":5178,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5177\/revisions\/5178"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/5175"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/5177\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=5177"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=5177"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=5177"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=5177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}