{"id":113496,"date":"2020-01-29T18:18:24","date_gmt":"2020-01-29T17:18:24","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/estadistica\/contraste-bilateral.html"},"modified":"2026-10-06T18:44:56","modified_gmt":"2026-10-06T16:44:56","slug":"contraste-bilateral","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/estadistica\/contraste-bilateral.html","title":{"rendered":"Contraste bilateral"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Se presenta cuando la hip\u00f3tesis nula es del tipo<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>0<\/sub>: \u03bc = \u03bc<sub>0<\/sub><\/strong><\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>0<\/sub>: p = p<\/strong><strong><sub>0<\/sub><\/strong><\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"> La hip\u00f3tesis alternativa, por tanto, es del tipo <\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>1<\/sub>: \u03bc\u2260 \u03bc<sub>0<\/sub><\/strong><\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>1<\/sub>: p\u2260 <\/strong><strong>p<\/strong><strong><sub>0<\/sub><\/strong><\/p>\n\n\r\n\r\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/contraste-bilateral-1.gif\" alt=\"Explicaciones y ejemplos de contraste bilateral - 1\" class=\"cRedimensiona\"\/>\r\n<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> El nivel de significaci\u00f3n \u03b1 se concentra en dos partes (o colas) sim\u00e9tricas respecto de la media.<\/p>\n\n\r\n\r\n\n\n<p class=\"wp-block-paragraph\">Se sabe que la desviaci\u00f3n t\u00edpica de las notas de cierto examen de Matem\u00e1ticas es 2,4. Para una muestra de 36 estudiantes se obtuvo una nota media de 5,6. \u00bfSirven estos datos para confirmar la hip\u00f3tesis de que la nota media del examen fue de 6, con un nivel de confianza del 95%?\r\n<\/p>\n\n\r\n\r\n\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">1.<\/h2>\n\n Enunciamos las hip\u00f3tesis nula y alternativa:<\/p>\n\n\r\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>0<\/sub> : \u03bc = 6 <\/strong>     La nota media no ha variado.<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><strong>H<sub>1<\/sub> : \u03bc \u2260 6 <\/strong>     <span class=\"san2\"> La nota media  ha variado.<\/span><\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">2.<\/h2>\n\n Zona de aceptaci\u00f3n <\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\">Para <strong>\u03b1 = 0.05<\/strong>, le corresponde un valor cr\u00edtico: <strong>z<sub>\u03b1\/2<\/sub> = 1.96<\/strong>.<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\">Determinamos el intervalo de confianza para la media:<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><span class=\"san3\" style=\"margin-left:7.5%;\"><strong> (6-1,96\u00a0\u00b7\u00a0 0,4 ; 6+1,96\u00a0\u00b7\u00a0 0,4) =            (5,22 ; 6,78)<\/strong><\/span><\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">3.<\/h2>\n\n Verificaci\u00f3n. <\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"> Valor obtenido de la media de la muestra:<strong> <span class=\"sol\">5,6 <\/span><\/strong>.<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\">\n\n<h2 class=\"wp-block-heading\">4.<\/h2>\n\n  Decisi\u00f3n<\/p>\n\n\r\n\n\n<p class=\"wp-block-paragraph\"><span class=\"sol\">Aceptamos  la hip\u00f3tesis nula H<sub>0<\/sub><\/span>, con un nivel de significaci\u00f3n del 5%.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Se presenta cuando la hip\u00f3tesis nula es del tipo H0: \u03bc = \u03bc0 H0: p = p0 La hip\u00f3tesis alternativa, por tanto, es del tipo H1: \u03bc\u2260 \u03bc0 H1: p\u2260 p0 El nivel de significaci\u00f3n \u03b1 se concentra en dos partes (o colas) sim\u00e9tricas respecto de la media. Se sabe que la desviaci\u00f3n t\u00edpica de [&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":"none","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[380],"tags":[360],"class_list":["post-113496","post","type-post","status-publish","format-standard","hentry","category-estadistica","tag-c"],"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\">c<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">c<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 4 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 6 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 18 min","modified":"Actualizado el 6 octubre 2026 18 h 44 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113496","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=113496"}],"version-history":[{"count":5,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113496\/revisions"}],"predecessor-version":[{"id":140269,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/113496\/revisions\/140269"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=113496"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=113496"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=113496"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}