{"id":227720,"date":"2024-05-14T16:03:11","date_gmt":"2024-05-14T16:03:11","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=227720"},"modified":"2024-05-14T16:03:11","modified_gmt":"2024-05-14T16:03:11","slug":"what-does-a-p-value-of-less-than-0-05-mean","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/","title":{"rendered":"What does a p-value of less than 0.05 mean?"},"content":{"rendered":"<p>The p-value is a statistical measure used to determine the significance of results in a hypothesis test. It indicates the likelihood of observing the results, or more extreme results, if the null hypothesis were true. Typically, if the p-value is less than 0.05, it is considered statistically significant and provides evidence to reject the null hypothesis.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_62 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#What_does_a_p-value_of_less_than_005_mean\" title=\"What does a p-value of less than 0.05 mean?\">What does a p-value of less than 0.05 mean?<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#FAQs\" title=\"FAQs:\">FAQs:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#1_How_is_a_p-value_calculated\" title=\"1. How is a p-value calculated?\">1. How is a p-value calculated?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#2_What_is_the_null_hypothesis\" title=\"2. What is the null hypothesis?\">2. What is the null hypothesis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#3_What_is_the_alternative_hypothesis\" title=\"3. What is the alternative hypothesis?\">3. What is the alternative hypothesis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#4_Why_is_005_considered_the_standard_significance_level\" title=\"4. Why is 0.05 considered the standard significance level?\">4. Why is 0.05 considered the standard significance level?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#5_Can_a_p-value_be_negative\" title=\"5. Can a p-value be negative?\">5. Can a p-value be negative?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#6_Is_a_p-value_of_006_significant\" title=\"6. Is a p-value of 0.06 significant?\">6. Is a p-value of 0.06 significant?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#7_Is_a_p-value_of_001_more_significant_than_005\" title=\"7. Is a p-value of 0.01 more significant than 0.05?\">7. Is a p-value of 0.01 more significant than 0.05?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#8_What_happens_if_the_p-value_is_greater_than_005\" title=\"8. What happens if the p-value is greater than 0.05?\">8. What happens if the p-value is greater than 0.05?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#9_Can_a_p-value_prove_or_disprove_a_hypothesis\" title=\"9. Can a p-value prove or disprove a hypothesis?\">9. Can a p-value prove or disprove a hypothesis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#10_Can_a_larger_sample_size_change_the_p-value\" title=\"10. Can a larger sample size change the p-value?\">10. Can a larger sample size change the p-value?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#11_Are_all_statistically_significant_results_practically_significant\" title=\"11. Are all statistically significant results practically significant?\">11. Are all statistically significant results practically significant?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#12_Can_a_p-value_be_used_as_a_measure_of_effect_size\" title=\"12. Can a p-value be used as a measure of effect size?\">12. Can a p-value be used as a measure of effect size?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_does_a_p-value_of_less_than_005_mean\"><\/span><b>What does a p-value of less than 0.05 mean?<\/b><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A p-value of less than 0.05 means that there is a less than 5% probability of obtaining the observed results or more extreme results by chance alone, assuming that the null hypothesis is true. It suggests strong evidence against the null hypothesis and supports the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"1_How_is_a_p-value_calculated\"><\/span>1. How is a p-value calculated?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value is calculated based on the observed test statistic and the null distribution. It represents the area under the null distribution curve that is as extreme or more extreme than the observed test statistic.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_is_the_null_hypothesis\"><\/span>2. What is the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe null hypothesis is a statement that assumes there is no significant difference or association between variables in a study.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_What_is_the_alternative_hypothesis\"><\/span>3. What is the alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe alternative hypothesis is a statement that assumes there is a significant difference or association between variables in a study.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Why_is_005_considered_the_standard_significance_level\"><\/span>4. Why is 0.05 considered the standard significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA significance level of 0.05 is commonly used as a threshold to determine statistical significance. It is a convention that provides a balance between type I and type II errors in hypothesis testing.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Can_a_p-value_be_negative\"><\/span>5. Can a p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot be negative. It represents a probability and ranges between 0 and 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Is_a_p-value_of_006_significant\"><\/span>6. Is a p-value of 0.06 significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value of 0.06 is usually considered not significant since it exceeds the commonly used threshold of 0.05.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Is_a_p-value_of_001_more_significant_than_005\"><\/span>7. Is a p-value of 0.01 more significant than 0.05?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, a p-value of 0.01 is considered more significant than 0.05 as it provides stronger evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_What_happens_if_the_p-value_is_greater_than_005\"><\/span>8. What happens if the p-value is greater than 0.05?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is greater than 0.05, it suggests that the observed results are likely to occur by chance alone, given the null hypothesis. In such cases, the null hypothesis is not rejected.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Can_a_p-value_prove_or_disprove_a_hypothesis\"><\/span>9. Can a p-value prove or disprove a hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot prove or disprove a hypothesis. It provides statistical evidence either supporting or contradicting the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Can_a_larger_sample_size_change_the_p-value\"><\/span>10. Can a larger sample size change the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, a larger sample size can potentially lead to a smaller p-value since it provides more information and reduces sampling variability.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Are_all_statistically_significant_results_practically_significant\"><\/span>11. Are all statistically significant results practically significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNot necessarily. While a statistically significant result suggests a real difference or relationship, its practical significance depends on the context and application of the study.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Can_a_p-value_be_used_as_a_measure_of_effect_size\"><\/span>12. Can a p-value be used as a measure of effect size?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value is not a measure of effect size. It only indicates the statistical significance of the results, while effect size measures quantify the magnitude of the observed difference or relationship.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The p-value is a statistical measure used to determine the significance of results in a hypothesis test. It indicates the likelihood of observing the results, or more extreme results, if the null hypothesis were true. Typically, if the p-value is less than 0.05, it is considered statistically significant and provides evidence to reject the null &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What does a p-value of less than 0.05 mean?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-does-a-p-value-of-less-than-0-05-mean\/#more-227720\">Read more<span class=\"screen-reader-text\">What does a p-value of less than 0.05 mean?<\/span><\/a><\/p>\n","protected":false},"author":57,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-227720","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learn","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What does a p-value of less than 0.05 mean?<\/title>\n<meta name=\"description\" content=\"The p-value is a statistical measure used to determine the significance of results in a hypothesis test. 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