{"id":113572,"date":"2020-01-29T18:18:31","date_gmt":"2020-01-29T17:18:31","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/estadistica\/nivel-confianza.html"},"modified":"2024-05-27T17:43:53","modified_gmt":"2024-05-27T15:43:53","slug":"nivel-confianza","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/estadistica\/nivel-confianza.html","title":{"rendered":"Nivel de confianza"},"content":{"rendered":"<section style=\"\">\n<div class=\"cContContenido\">\n<p class=\"\">El <strong>nivel de confianza<\/strong>  es la probabilidad de que el par\u00e1metro a estimar se encuentre en el intervalo de confianza.<\/p>\n<p class=\"\" id=\"n_con\">El <strong>nivel de confianza  (p)<\/strong> se designa mediante <strong>1 \u2212 \u03b1<\/strong>, y se suele tomar en tanto por ciento.<\/p>\n<p class=\"\">Los niveles de confianza m\u00e1s usuales son: 90%; 95% y 99%.<\/p>\n<p class=\"\" id=\"n_sig\">El <strong>nivel de significaci\u00f3n<\/strong>   se designa mediante <strong>\u03b1.<\/strong><\/p>\n<\/div>\n<p class=\"\" id=\"v_cri\"><strong>El valor cr\u00edtico (k) como z<sub> \u03b1\/2 <\/sub>.<\/strong> <\/p>\n<p class=\"\"><strong>P(Z&gt;z<sub> \u03b1\/2<\/sub>) = \u03b1\/2    <\/strong><\/p>\n<p class=\"\"><strong>  <span>P[-z <sub> \u03b1\/2<\/sub> &lt; z &lt; z<sub> \u03b1\/2<\/sub>] = 1 - \u03b1<\/span> <\/strong><\/p>\n<p><\/p>\n<table class=\"responsive sbc\" data-min=\"8\" data-max=\"12\">\n<tr>\n<th >1 - \u03b1<\/th>\n<th>\u03b1\/2<\/th>\n<th>z<sub> \u03b1\/2<\/sub><\/th>\n<\/tr>\n<tr>\n<td>0.90<\/td>\n<td>0.05<\/td>\n<td>1.645<\/td>\n<\/tr>\n<tr>\n<td>0.95<\/td>\n<td>0.025<\/td>\n<td>1.96<\/td>\n<\/tr>\n<tr>\n<td>0.99<\/td>\n<td>0.005<\/td>\n<td>2.575<\/td>\n<\/tr>\n<\/table>\n<p class=\"\">En una distribuci\u00f3n<strong> N(\u03bc, \u03c3 )<\/strong> el intervalo caracter\u00edstico correspondiente a una probabilidad <strong>p = 1 - \u03b1<\/strong> es:<\/p>\n<p><strong>(\u03bc - z<sub> \u03b1\/2<\/sub> \u00b7 \u03c3, \u03bc + z<sub> \u03b1\/2<\/sub> \u00b7 \u03c3  )<\/strong><\/p>\n<h2 class=\"t\">Ejercicio<\/h2>\n<p class=\"\">\n\t\t\t\t\t\t\tLa media de las estaturas de una muestra aleatoria de 400 personas de una ciudad es 1,75 m. Se sabe que la estatura de las personas de esa ciudad es una variable aleatoria que sigue una distribuci\u00f3n normal con varianza \u03c3<sup>2<\/sup> = 0,16 m<sup>2<\/sup>.\t\t\t\t\t\t<\/p>\n<p class=\"\" style=\"\">Construye un intervalo, de un 95% de confianza, para la media de las estaturas de la poblaci\u00f3n.\t\t\t\t\t\t<\/p>\n<p class=\"actividades_2_g\">\n\t\t\t\t\t\t\t<strong>n = 400     <\/strong><\/p>\n<p class=\"actividades_2_g\"><strong> <span style=\"text-decoration:overline\">x <\/span>= 1.75        \u03c3 = 0.4<\/strong> <\/p>\n<p class=\"actividades_2_r\">\n\t\t\t\t\t\t\t1\u2212 \u03b1 = 0.95                  <\/p>\n<p class=\"actividades_2_r\">  <strong>z<sub> \u03b1\/2 <\/sub>= 1.96<\/strong> <\/p>\n<p class=\"actividades_2_g\">\n\t\t\t\t\t\t\t<strong>(1.75 \u00b1 1.96 \u00b7 0.4\/20 ) <\/strong>  <\/p>\n<p class=\"actividades_2_g\">  <span class=\"sol\">(1.7108,1.7892)<\/span>\t\t\t\t\t\t<\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>El nivel de confianza es la probabilidad de que el par\u00e1metro a estimar se encuentre en el intervalo de confianza. El nivel de confianza (p) se designa mediante 1 \u2212 \u03b1, y se suele tomar en tanto por ciento. Los niveles de confianza m\u00e1s usuales son: 90%; 95% y 99%. El nivel de significaci\u00f3n se [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[380],"tags":[362],"class_list":["post-113572","post","type-post","status-publish","format-standard","hentry","category-estadistica","tag-n"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/estadistica\" class=\"advgb-post-tax-term\">Estad\u00edstica<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">Estad\u00edstica<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/estadistica\" class=\"advgb-post-tax-term\">n<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">n<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 2 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 27 mayo 2024"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 18 min","modified":"Actualizado el 27 mayo 2024 17 h 43 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113572","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=113572"}],"version-history":[{"count":1,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113572\/revisions"}],"predecessor-version":[{"id":136067,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113572\/revisions\/136067"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=113572"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=113572"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=113572"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}