{"id":1146,"date":"2023-06-22T01:56:47","date_gmt":"2023-06-22T01:56:47","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-distribution-of-a-sample-proportion-apply-it-2\/"},"modified":"2025-05-16T02:42:56","modified_gmt":"2025-05-16T02:42:56","slug":"sampling-distribution-of-a-sample-proportion-apply-it-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-distribution-of-a-sample-proportion-apply-it-2\/","title":{"raw":"Sampling Distribution of a Sample Proportion: Learn It 2","rendered":"Sampling Distribution of a Sample Proportion: Learn It 2"},"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 Distribution of a Sample Proportion<\/h2>\r\n<p>In order to get a sense of the pattern of variation in sample proportions, we need to generate more than five samples.<\/p>\r\n<section class=\"textbox recall\">The distribution showing how sample proportions vary from sample to sample is called a <strong>sampling distribution<\/strong> of the sample proportion.<\/section>\r\n<p>In statistics, we often talk about distributions. A sampling distribution is just a distribution of sample statistics as they vary from sample to sample. An illustration of the distinction between the <strong>population distribution<\/strong> of the variable, a single <strong>sample distribution<\/strong> of the variable, and the <strong>sampling distribution of sample proportions<\/strong> is shown below using unemployment data.<\/p>\r\n<p><img class=\"aligncenter size-full wp-image-1762\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/14234756\/Picture110.jpg\" alt=\"\" width=\"1717\" height=\"968\" \/><\/p>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/sampdist_prop\" width=\"100%\" height=\"850\"><\/iframe><\/p>\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<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1573[\/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 Distribution of a Sample Proportion<\/h2>\n<p>In order to get a sense of the pattern of variation in sample proportions, we need to generate more than five samples.<\/p>\n<section class=\"textbox recall\">The distribution showing how sample proportions vary from sample to sample is called a <strong>sampling distribution<\/strong> of the sample proportion.<\/section>\n<p>In statistics, we often talk about distributions. A sampling distribution is just a distribution of sample statistics as they vary from sample to sample. An illustration of the distinction between the <strong>population distribution<\/strong> of the variable, a single <strong>sample distribution<\/strong> of the variable, and the <strong>sampling distribution of sample proportions<\/strong> is shown below using unemployment data.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1762\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5826\/2022\/10\/14234756\/Picture110.jpg\" alt=\"\" width=\"1717\" height=\"968\" \/><\/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<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1573\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1573&theme=lumen&iframe_resize_id=ohm1573&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":15,"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\/1146"}],"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":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1146\/revisions"}],"predecessor-version":[{"id":6706,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1146\/revisions\/6706"}],"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\/1146\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1146"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1146"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1146"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}