{"id":1145,"date":"2023-06-22T01:56:46","date_gmt":"2023-06-22T01:56:46","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-distribution-of-a-sample-proportion-apply-it-1\/"},"modified":"2024-02-29T19:51:11","modified_gmt":"2024-02-29T19:51:11","slug":"sampling-distribution-of-a-sample-proportion-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-distribution-of-a-sample-proportion-apply-it-1\/","title":{"raw":"Sampling Distribution of a Sample Proportion: Learn It 1","rendered":"Sampling Distribution of a Sample Proportion: Learn It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Use technology to create a sampling distribution of a sample proportion given [latex]n[\/latex] and [latex]p[\/latex].<\/li>\r\n\t<li>Calculate the mean and standard deviation for a sampling distribution of a sample proportion.<\/li>\r\n\t<li>Recognize the difference between the standard deviation and the standard error of a sample proportion.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Sampling Variability in Unemployment Rates<\/h2>\r\n<p><img class=\"aligncenter wp-image-1756\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/14230948\/Picture19.jpg\" alt=\"A sample graph of unemployment.\" width=\"513\" height=\"344\" \/><\/p>\r\n<p>Each month, the U.S. Bureau of Labor Statistics releases a report on the employment situation in the United States.<\/p>\r\n<p>Included in the report is an estimate of the nationwide unemployment rate: The number of unemployed people as a percentage of the labor force. This is defined as the total number of employed individuals plus unemployed individuals who are actively looking for work.[footnote]U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm[\/footnote]<\/p>\r\n<p>[reveal-answer q=\"573867\"]Definition of unemployment[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"573867\"]<\/p>\r\n<p>In the Current Population Survey[footnote]U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm[\/footnote], people are classified as unemployed if they meet all of the following criteria:<\/p>\r\n<ul>\r\n\t<li>They were not employed during the survey reference week.<\/li>\r\n\t<li>They were available for work during the survey reference week, except for temporary illness.<\/li>\r\n\t<li>They made at least one specific, active effort to find a job during the 4-week period ending with the survey reference week (see active job search methods) OR they were temporarily laid off and expecting to be recalled to their job.<\/li>\r\n<\/ul>\r\n<p>People waiting to start a new job must have actively looked for a job within the last 4 weeks in order to be classified as unemployed. Otherwise, they are classified as not in the labor force.<\/p>\r\n<p>[\/hidden-answer]<\/p>\r\n<p>For example: The U.S. Bureau of Labor Statistics stated that at the start of the COVID-19 pandemic in the United States, the unemployment rate jumped from [latex]3.5\\%[\/latex] in February 2020 to [latex]14.8\\%[\/latex] in April 2020.[footnote]U.S. Bureau of Labor Statistics. (n.d.). Graphics for economic news releases. https:\/\/www.bls.gov\/charts\/employment-situation\/civilian-unemployment-rate.htm[\/footnote]<\/p>\r\n<p>Note: Though the BLS presents unemployment rates as if they are a known parameter, these rates are actually estimated through two labor force surveys: the Current Population Survey (CPS) and the Current Employment Statistics Survey (CES), for a total sample size of about [latex]60,000[\/latex] households from the CPS and [latex]400,000[\/latex] individual employees from the CES.[footnote]Lumen Learning. (n.d.). Measuring unemployment. https:\/\/courses.lumenlearning.com\/boundless-economics\/chapter\/measuring-unemployment\/[\/footnote]<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]907[\/ohm2_question]<\/section>\r\n<div>\r\n<p><span style=\"font-size: 1em;\">Let's use the<\/span><em style=\"font-size: 1em;\">\u00a0Sampling Distribution of the Sample Proportion <\/em><span style=\"font-size: 1em;\">tool to explore sampling variability of sample proportions.<\/span><\/p>\r\n<iframe src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" width=\"100%\" height=\"850\"><\/iframe>\r\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\r\n<\/div>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1571[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Use technology to create a sampling distribution of a sample proportion given [latex]n[\/latex] and [latex]p[\/latex].<\/li>\n<li>Calculate the mean and standard deviation for a sampling distribution of a sample proportion.<\/li>\n<li>Recognize the difference between the standard deviation and the standard error of a sample proportion.<\/li>\n<\/ul>\n<\/section>\n<h2>Sampling Variability in Unemployment Rates<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-1756\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/14230948\/Picture19.jpg\" alt=\"A sample graph of unemployment.\" width=\"513\" height=\"344\" \/><\/p>\n<p>Each month, the U.S. Bureau of Labor Statistics releases a report on the employment situation in the United States.<\/p>\n<p>Included in the report is an estimate of the nationwide unemployment rate: The number of unemployed people as a percentage of the labor force. This is defined as the total number of employed individuals plus unemployed individuals who are actively looking for work.<a class=\"footnote\" title=\"U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm\" id=\"return-footnote-1145-1\" href=\"#footnote-1145-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p><div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q573867\">Definition of unemployment<\/button><\/p>\n<div id=\"q573867\" class=\"hidden-answer\" style=\"display: none\">\n<p>In the Current Population Survey<a class=\"footnote\" title=\"U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm\" id=\"return-footnote-1145-2\" href=\"#footnote-1145-2\" aria-label=\"Footnote 2\"><sup class=\"footnote\">[2]<\/sup><\/a>, people are classified as unemployed if they meet all of the following criteria:<\/p>\n<ul>\n<li>They were not employed during the survey reference week.<\/li>\n<li>They were available for work during the survey reference week, except for temporary illness.<\/li>\n<li>They made at least one specific, active effort to find a job during the 4-week period ending with the survey reference week (see active job search methods) OR they were temporarily laid off and expecting to be recalled to their job.<\/li>\n<\/ul>\n<p>People waiting to start a new job must have actively looked for a job within the last 4 weeks in order to be classified as unemployed. Otherwise, they are classified as not in the labor force.<\/p>\n<\/div>\n<\/div>\n<p>For example: The U.S. Bureau of Labor Statistics stated that at the start of the COVID-19 pandemic in the United States, the unemployment rate jumped from [latex]3.5\\%[\/latex] in February 2020 to [latex]14.8\\%[\/latex] in April 2020.<a class=\"footnote\" title=\"U.S. Bureau of Labor Statistics. (n.d.). Graphics for economic news releases. https:\/\/www.bls.gov\/charts\/employment-situation\/civilian-unemployment-rate.htm\" id=\"return-footnote-1145-3\" href=\"#footnote-1145-3\" aria-label=\"Footnote 3\"><sup class=\"footnote\">[3]<\/sup><\/a><\/p>\n<p>Note: Though the BLS presents unemployment rates as if they are a known parameter, these rates are actually estimated through two labor force surveys: the Current Population Survey (CPS) and the Current Employment Statistics Survey (CES), for a total sample size of about [latex]60,000[\/latex] households from the CPS and [latex]400,000[\/latex] individual employees from the CES.<a class=\"footnote\" title=\"Lumen Learning. (n.d.). Measuring unemployment. https:\/\/courses.lumenlearning.com\/boundless-economics\/chapter\/measuring-unemployment\/\" id=\"return-footnote-1145-4\" href=\"#footnote-1145-4\" aria-label=\"Footnote 4\"><sup class=\"footnote\">[4]<\/sup><\/a><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm907\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=907&theme=lumen&iframe_resize_id=ohm907&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<div>\n<p><span style=\"font-size: 1em;\">Let&#8217;s use the<\/span><em style=\"font-size: 1em;\">\u00a0Sampling Distribution of the Sample Proportion <\/em><span style=\"font-size: 1em;\">tool to explore sampling variability of sample proportions.<\/span><\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>[<a href=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<\/div>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1571\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1571&theme=lumen&iframe_resize_id=ohm1571&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-1145-1\">U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm <a href=\"#return-footnote-1145-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><li id=\"footnote-1145-2\">U.S. Bureau of Labor Statistics. (n.d.). Concepts and definitions. https:\/\/www.bls.gov\/cps\/definitions.htm <a href=\"#return-footnote-1145-2\" class=\"return-footnote\" aria-label=\"Return to footnote 2\">&crarr;<\/a><\/li><li id=\"footnote-1145-3\">U.S. Bureau of Labor Statistics. (n.d.). Graphics for economic news releases. https:\/\/www.bls.gov\/charts\/employment-situation\/civilian-unemployment-rate.htm <a href=\"#return-footnote-1145-3\" class=\"return-footnote\" aria-label=\"Return to footnote 3\">&crarr;<\/a><\/li><li id=\"footnote-1145-4\">Lumen Learning. (n.d.). Measuring unemployment. https:\/\/courses.lumenlearning.com\/boundless-economics\/chapter\/measuring-unemployment\/ <a href=\"#return-footnote-1145-4\" class=\"return-footnote\" aria-label=\"Return to footnote 4\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":8,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1126,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1145"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1145\/revisions"}],"predecessor-version":[{"id":5745,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1145\/revisions\/5745"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1126"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1145\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1145"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1145"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1145"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1145"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}