{"id":1649,"date":"2022-01-19T02:10:56","date_gmt":"2022-01-19T02:10:56","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=1649"},"modified":"2022-01-24T22:37:29","modified_gmt":"2022-01-24T22:37:29","slug":"10b","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/10b\/","title":{"raw":"10B","rendered":"10B"},"content":{"raw":"<img class=\"alignnone wp-image-1650\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020824\/Picture98-300x199.jpg\" alt=\"A yellow umbrella under a sunny sky.\" width=\"1058\" height=\"702\" \/> <img class=\"alignnone wp-image-1651\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020829\/Picture99-300x182.png\" alt=\"Several tables and graphs. The first table is labeled \u201cDescriptive Statistics\u201d and has three columns. The first column is labeled \u201cSample Size\u201d and reads 38,442. The second column is labeled \u201cSuccesses\u201d and reads 2,693. The last column is labeled \u201cSample Proportion\u201d and reads 0.0701. The next table is titled \u201cEstimate of Population Proportion\u201d and has three columns. The first column is labeled \u201cPoint Estimate\u201d and reads 0.0701. The second column is labeled \u201cStandard Error\u201d and reads 0.0013. The last column is labeled \u201cMargin of Error\u201d and reads plus or minus 0.026. The third table is labeled \u201cConfidence Interval\u201d and has four columns. The first column is labeled \u201cPopulation Parameter\u201d and reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and reads 0.0676. The third column is labeled \u201cUpper Bound\u201d and reads 0.0726. The last column is labeled \u201cConfidence Level\u201d and reads 95%. To the right of the tables is a bar chart, labeled \u201cProportion\u201d on the y-axis with \u201cSuccess\u201d and \u201cFailure\u201d as categories on the x-axis. Success has a proportion of approximately 0.07 and failure has a proportion of approximately 0.93. Beneath the tables and graph is a number line that reads \u201c95% Confidence Interval\u201d above it and \u201cPopulation Proportion P\u201d beneath it. It is labeled in increments of 0.005 from 0.045 to 0.095. There is a point labeled p at approximately 0.07 with bounds labeled \u201c[0.0675, 0.07261].\u201d\" width=\"1019\" height=\"618\" \/> <img class=\"alignnone wp-image-1652\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020834\/Picture1001-300x90.png\" alt=\"A confidence interval shown on a table and a number line. For the table, the first column is labeled \u201cPopulation Parameter\u201d and it reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and it reads 0.6947. The third column is labeled \u201cUpper Bound\u201d and it reads 0.7450. The last column is labeled \u201cConfidence Level\u201d and reads 99%. Beneath the table is the number line, labeled \u201c99% Confidence Interval\u201d above and \u201cPopulation Proportion p\u201d below. There is a point at approximately 0.72 with bounds labeled \u201c[0.6947, 0.745].\u201d\" width=\"1023\" height=\"307\" \/> <img class=\"alignnone wp-image-1653\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020839\/Picture1012-300x196.png\" alt=\"Several tables and graphs. The first table is labeled \u201cDescriptive Statistics\u201d and has three columns. The first column is labeled \u201cSample Size\u201d and reads 38,440. The second column is labeled \u201cSuccesses\u201d and reads 13,888. The last column is labeled \u201cSample Proportion\u201d and reads 0.3613. The next table is titled \u201cEstimate of Population Proportion\u201d and has three columns. The first column is labeled \u201cPoint Estimate\u201d and reads 0.3613. The second column is labeled \u201cStandard Error\u201d and reads 0.0025. The last column is labeled \u201cMargin of Error\u201d and reads plus or minus 0.0048. The third table is labeled \u201cConfidence Interval\u201d and has four columns. The first column is labeled \u201cPopulation Parameter\u201d and reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and reads 0.3565. The third column is labeled \u201cUpper Bound\u201d and reads 0.3661. The last column is labeled \u201cConfidence Level\u201d and reads 95%. To the right of the tables is a bar chart, labeled \u201cProportion\u201d on the y-axis with \u201cSuccess\u201d and \u201cFailure\u201d as categories on the x-axis. Success has a proportion of approximately 0.36 and failure has a proportion of approximately 0.74. Beneath the tables and graph is a number line that reads \u201c95% Confidence Interval\u201d above it and \u201cPopulation Proportion P\u201d beneath it. It is labeled in increments of 0.5 from 0.25 to 0.45. There is a point labeled p at approximately 0.36 with bounds labeled \u201c[0.3565, 0.3661].\u201d\" width=\"1061\" height=\"693\" \/><img class=\"alignnone wp-image-1654\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020846\/Picture1021-300x225.png\" alt=\"A graph labeled \u201cPopulation Proportion p\u201d on the x-axis with a vertical line at 0.4. There are ten dots, each in the center of a short horizontal line. 9 of the dots are green and intersect the vertical line. 1 of the dots is red and does not intersect with the vertical line.\" width=\"1023\" height=\"764\" \/> <img class=\"alignnone wp-image-1655\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020851\/Picture1031-300x223.png\" alt=\"A graph labeled \u201cPopulation Proportion p\u201d on the x-axis with a vertical line at 0.4. There are many dots, each in the center of a short horizontal line. The majority of the dots are green and intersect the vertical line. 7 of the dots are red and do not intersect with the vertical line.\" width=\"865\" height=\"643\" \/> <img class=\"alignnone wp-image-1656\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020855\/Picture1041-300x90.png\" alt=\"A confidence interval shown on a table and a number line. For the table, the first column is labeled \u201cPopulation Parameter\u201d and it reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and it reads 0.4332. The third column is labeled \u201cUpper Bound\u201d and it reads 0.5029. The last column is labeled \u201cConfidence Level\u201d and reads 99%. Beneath the table is the number line, labeled \u201c99% Confidence Interval\u201d above and \u201cPopulation Proportion p\u201d below. There is a point at approximately 0.47 with bounds labeled \u201c[0.4332, 0.5029].\u201d\" width=\"1077\" height=\"323\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Point-Estimate<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Standard Error<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Margin of Error<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Confidence Level<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Lower Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Upper Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Point-Estimate<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Standard Error<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Margin of Error<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Confidence Level<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Lower Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Upper Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Point Estimate,<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Lower Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Upper Bound<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Lower bound<\/td>\r\n<td>Upper bound<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify the components of a confidence interval from a summary generated using technology.<\/td>\r\n<td>1\u20134<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Interpret a confidence interval for a population proportion.<\/td>\r\n<td>5, 6<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Construct a confidence interval using technology.<\/td>\r\n<td>7<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1650\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020824\/Picture98-300x199.jpg\" alt=\"A yellow umbrella under a sunny sky.\" width=\"1058\" height=\"702\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1651\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020829\/Picture99-300x182.png\" alt=\"Several tables and graphs. The first table is labeled \u201cDescriptive Statistics\u201d and has three columns. The first column is labeled \u201cSample Size\u201d and reads 38,442. The second column is labeled \u201cSuccesses\u201d and reads 2,693. The last column is labeled \u201cSample Proportion\u201d and reads 0.0701. The next table is titled \u201cEstimate of Population Proportion\u201d and has three columns. The first column is labeled \u201cPoint Estimate\u201d and reads 0.0701. The second column is labeled \u201cStandard Error\u201d and reads 0.0013. The last column is labeled \u201cMargin of Error\u201d and reads plus or minus 0.026. The third table is labeled \u201cConfidence Interval\u201d and has four columns. The first column is labeled \u201cPopulation Parameter\u201d and reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and reads 0.0676. The third column is labeled \u201cUpper Bound\u201d and reads 0.0726. The last column is labeled \u201cConfidence Level\u201d and reads 95%. To the right of the tables is a bar chart, labeled \u201cProportion\u201d on the y-axis with \u201cSuccess\u201d and \u201cFailure\u201d as categories on the x-axis. Success has a proportion of approximately 0.07 and failure has a proportion of approximately 0.93. Beneath the tables and graph is a number line that reads \u201c95% Confidence Interval\u201d above it and \u201cPopulation Proportion P\u201d beneath it. It is labeled in increments of 0.005 from 0.045 to 0.095. There is a point labeled p at approximately 0.07 with bounds labeled \u201c[0.0675, 0.07261].\u201d\" width=\"1019\" height=\"618\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1652\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020834\/Picture1001-300x90.png\" alt=\"A confidence interval shown on a table and a number line. For the table, the first column is labeled \u201cPopulation Parameter\u201d and it reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and it reads 0.6947. The third column is labeled \u201cUpper Bound\u201d and it reads 0.7450. The last column is labeled \u201cConfidence Level\u201d and reads 99%. Beneath the table is the number line, labeled \u201c99% Confidence Interval\u201d above and \u201cPopulation Proportion p\u201d below. There is a point at approximately 0.72 with bounds labeled \u201c[0.6947, 0.745].\u201d\" width=\"1023\" height=\"307\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1653\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020839\/Picture1012-300x196.png\" alt=\"Several tables and graphs. The first table is labeled \u201cDescriptive Statistics\u201d and has three columns. The first column is labeled \u201cSample Size\u201d and reads 38,440. The second column is labeled \u201cSuccesses\u201d and reads 13,888. The last column is labeled \u201cSample Proportion\u201d and reads 0.3613. The next table is titled \u201cEstimate of Population Proportion\u201d and has three columns. The first column is labeled \u201cPoint Estimate\u201d and reads 0.3613. The second column is labeled \u201cStandard Error\u201d and reads 0.0025. The last column is labeled \u201cMargin of Error\u201d and reads plus or minus 0.0048. The third table is labeled \u201cConfidence Interval\u201d and has four columns. The first column is labeled \u201cPopulation Parameter\u201d and reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and reads 0.3565. The third column is labeled \u201cUpper Bound\u201d and reads 0.3661. The last column is labeled \u201cConfidence Level\u201d and reads 95%. To the right of the tables is a bar chart, labeled \u201cProportion\u201d on the y-axis with \u201cSuccess\u201d and \u201cFailure\u201d as categories on the x-axis. Success has a proportion of approximately 0.36 and failure has a proportion of approximately 0.74. Beneath the tables and graph is a number line that reads \u201c95% Confidence Interval\u201d above it and \u201cPopulation Proportion P\u201d beneath it. It is labeled in increments of 0.5 from 0.25 to 0.45. There is a point labeled p at approximately 0.36 with bounds labeled \u201c[0.3565, 0.3661].\u201d\" width=\"1061\" height=\"693\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1654\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020846\/Picture1021-300x225.png\" alt=\"A graph labeled \u201cPopulation Proportion p\u201d on the x-axis with a vertical line at 0.4. There are ten dots, each in the center of a short horizontal line. 9 of the dots are green and intersect the vertical line. 1 of the dots is red and does not intersect with the vertical line.\" width=\"1023\" height=\"764\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1655\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020851\/Picture1031-300x223.png\" alt=\"A graph labeled \u201cPopulation Proportion p\u201d on the x-axis with a vertical line at 0.4. There are many dots, each in the center of a short horizontal line. The majority of the dots are green and intersect the vertical line. 7 of the dots are red and do not intersect with the vertical line.\" width=\"865\" height=\"643\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1656\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/19020855\/Picture1041-300x90.png\" alt=\"A confidence interval shown on a table and a number line. For the table, the first column is labeled \u201cPopulation Parameter\u201d and it reads \u201cProportion p.\u201d The second column is labeled \u201cLower Bound\u201d and it reads 0.4332. The third column is labeled \u201cUpper Bound\u201d and it reads 0.5029. The last column is labeled \u201cConfidence Level\u201d and reads 99%. Beneath the table is the number line, labeled \u201c99% Confidence Interval\u201d above and \u201cPopulation Proportion p\u201d below. There is a point at approximately 0.47 with bounds labeled \u201c[0.4332, 0.5029].\u201d\" width=\"1077\" height=\"323\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td>Point-Estimate<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Standard Error<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Margin of Error<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Confidence Level<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Lower Bound<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Upper Bound<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Point-Estimate<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Standard Error<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Margin of Error<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Confidence Level<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Lower Bound<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Upper Bound<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Point Estimate,<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Lower Bound<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Upper Bound<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td>Lower bound<\/td>\n<td>Upper bound<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Identify the components of a confidence interval from a summary generated using technology.<\/td>\n<td>1\u20134<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Interpret a confidence interval for a population proportion.<\/td>\n<td>5, 6<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Construct a confidence interval using technology.<\/td>\n<td>7<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n","protected":false},"author":23592,"menu_order":36,"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-1649","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1649","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\/23592"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1649\/revisions"}],"predecessor-version":[{"id":1804,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1649\/revisions\/1804"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1649\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=1649"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=1649"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=1649"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=1649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}