{"id":216375,"date":"2024-10-01T09:29:47","date_gmt":"2024-10-01T09:29:47","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/"},"modified":"2024-10-01T09:29:47","modified_gmt":"2024-10-01T09:29:47","slug":"what-p-value-rejects-the-null","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/","title":{"rendered":"What P value rejects the null?"},"content":{"rendered":"<p>The p-value is a statistical measure that helps determine the likelihood of obtaining a specific result by chance, assuming that the null hypothesis is true. In hypothesis testing, a p-value lower than the significance level indicates strong evidence against the null hypothesis, leading to its rejection in favor of the alternative hypothesis. The critical value for the p-value depends on the chosen significance level, typically denoted as alpha.<\/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-p-value-rejects-the-null\/#The_P_value_that_rejects_the_null_hypothesis_is_one_that_is_less_than_the_significance_level_alpha\" title=\"The P value that rejects the null hypothesis is one that is less than the significance level (alpha).\">The P value that rejects the null hypothesis is one that is less than the significance level (alpha).<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/#Frequently_Asked_Questions_FAQs\" title=\"Frequently Asked Questions (FAQs)\">Frequently Asked Questions (FAQs)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/#Q1_What_is_a_null_hypothesis\" title=\"Q1: What is a null hypothesis?\">Q1: What is a null hypothesis?<\/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-p-value-rejects-the-null\/#Q2_How_is_the_p-value_calculated\" title=\"Q2: How is the p-value calculated?\">Q2: How is the p-value calculated?<\/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-p-value-rejects-the-null\/#Q3_What_does_it_mean_to_reject_the_null_hypothesis\" title=\"Q3: What does it mean to reject the null hypothesis?\">Q3: What does it mean to reject the null 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-p-value-rejects-the-null\/#Q4_What_significance_level_should_I_choose_for_my_hypothesis_test\" title=\"Q4: What significance level should I choose for my hypothesis test?\">Q4: What significance level should I choose for my hypothesis test?<\/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-p-value-rejects-the-null\/#Q5_Can_a_p-value_be_negative\" title=\"Q5: Can a p-value be negative?\">Q5: 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-p-value-rejects-the-null\/#Q6_What_is_the_relationship_between_p-value_and_statistical_significance\" title=\"Q6: What is the relationship between p-value and statistical significance?\">Q6: What is the relationship between p-value and statistical significance?<\/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-p-value-rejects-the-null\/#Q7_Can_a_p-value_be_larger_than_1\" title=\"Q7: Can a p-value be larger than 1?\">Q7: Can a p-value be larger than 1?<\/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-p-value-rejects-the-null\/#Q8_Is_a_p-value_of_005_always_considered_statistically_significant\" title=\"Q8: Is a p-value of 0.05 always considered statistically significant?\">Q8: Is a p-value of 0.05 always considered statistically significant?<\/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-p-value-rejects-the-null\/#Q9_Can_a_p-value_be_used_to_determine_the_magnitude_or_effect_size_of_a_relationship\" title=\"Q9: Can a p-value be used to determine the magnitude or effect size of a relationship?\">Q9: Can a p-value be used to determine the magnitude or effect size of a relationship?<\/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-p-value-rejects-the-null\/#Q10_What_happens_if_the_p-value_is_greater_than_the_significance_level\" title=\"Q10: What happens if the p-value is greater than the significance level?\">Q10: What happens if the p-value is greater than the significance level?<\/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-p-value-rejects-the-null\/#Q11_Is_a_small_p-value_always_meaningful\" title=\"Q11: Is a small p-value always meaningful?\">Q11: Is a small p-value always meaningful?<\/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-p-value-rejects-the-null\/#Q12_Can_a_p-value_be_used_to_prove_a_hypothesis\" title=\"Q12: Can a p-value be used to prove a hypothesis?\">Q12: Can a p-value be used to prove a hypothesis?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"The_P_value_that_rejects_the_null_hypothesis_is_one_that_is_less_than_the_significance_level_alpha\"><\/span><strong>The P value that rejects the null hypothesis is one that is less than the significance level (alpha).<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When conducting hypothesis testing, a researcher determines a threshold, called the significance level (alpha), which defines the level of confidence needed to reject the null hypothesis. Commonly used significance levels are 0.05 (5%) and 0.01 (1%). If the calculated p-value is lower than the significance level, the null hypothesis is considered statistically significant, and it is rejected in favor of the alternative hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQs\"><\/span>Frequently Asked Questions (FAQs)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Q1_What_is_a_null_hypothesis\"><\/span>Q1: What is a null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA1: The null hypothesis is a statement or assumption that suggests there is no significant relationship or difference between the variables being tested.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q2_How_is_the_p-value_calculated\"><\/span>Q2: How is the p-value calculated?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA2: The p-value is calculated by determining the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q3_What_does_it_mean_to_reject_the_null_hypothesis\"><\/span>Q3: What does it mean to reject the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA3: Rejecting the null hypothesis indicates that there is sufficient evidence to support the alternative hypothesis, suggesting a significant relationship or difference between the variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q4_What_significance_level_should_I_choose_for_my_hypothesis_test\"><\/span>Q4: What significance level should I choose for my hypothesis test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA4: The choice of significance level (alpha) depends on factors such as the importance of making a Type I error (rejecting the null hypothesis when it is true) versus a Type II error (failing to reject the null hypothesis when it is false). Typically, alpha is set at 0.05 or 0.01.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q5_Can_a_p-value_be_negative\"><\/span>Q5: Can a p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA5: No, a p-value cannot be negative. It represents a probability and ranges from 0 to 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q6_What_is_the_relationship_between_p-value_and_statistical_significance\"><\/span>Q6: What is the relationship between p-value and statistical significance?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA6: The p-value helps determine statistical significance. A lower p-value indicates stronger evidence against the null hypothesis and higher statistical significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q7_Can_a_p-value_be_larger_than_1\"><\/span>Q7: Can a p-value be larger than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA7: No, a p-value cannot exceed 1. It represents a probability, and probabilities range between 0 and 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q8_Is_a_p-value_of_005_always_considered_statistically_significant\"><\/span>Q8: Is a p-value of 0.05 always considered statistically significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA8: No, the significance level of 0.05 is commonly used, but the interpretation of statistical significance depends on the context and field of study.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q9_Can_a_p-value_be_used_to_determine_the_magnitude_or_effect_size_of_a_relationship\"><\/span>Q9: Can a p-value be used to determine the magnitude or effect size of a relationship?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA9: No, the p-value solely indicates the statistical evidence against the null hypothesis and does not provide information about the effect size or the strength of the observed relationship.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q10_What_happens_if_the_p-value_is_greater_than_the_significance_level\"><\/span>Q10: What happens if the p-value is greater than the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA10: If the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis. However, this does not imply that the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q11_Is_a_small_p-value_always_meaningful\"><\/span>Q11: Is a small p-value always meaningful?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA11: A small p-value suggests strong evidence against the null hypothesis. However, it is essential to consider the study design, sample size, and relevance of the observed effect to determine the practical significance.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q12_Can_a_p-value_be_used_to_prove_a_hypothesis\"><\/span>Q12: Can a p-value be used to prove a hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA12: No, the p-value cannot prove a hypothesis. It provides evidence against the null hypothesis based on the observed data, but it does not provide definitive proof for the alternative hypothesis.<\/p>\n<p>In conclusion, the p-value that rejects the null hypothesis is one that is less than the chosen significance level (alpha). By comparing the calculated p-value to the significance level, researchers can determine whether there is enough statistical evidence to reject the null hypothesis and support the alternative hypothesis. However, it is important to consider the p-value in conjunction with other factors such as effect size and study design for a comprehensive understanding of the results.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The p-value is a statistical measure that helps determine the likelihood of obtaining a specific result by chance, assuming that the null hypothesis is true. In hypothesis testing, a p-value lower than the significance level indicates strong evidence against the null hypothesis, leading to its rejection in favor of the alternative hypothesis. The critical value &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What P value rejects the null?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/#more-216375\">Read more<span class=\"screen-reader-text\">What P value rejects the null?<\/span><\/a><\/p>\n","protected":false},"author":54,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-216375","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 P value rejects the null?<\/title>\n<meta name=\"description\" content=\"The p-value is a statistical measure that helps determine the likelihood of obtaining a specific result by chance, assuming that the null hypothesis is\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What P value rejects the null?\" \/>\n<meta property=\"og:description\" content=\"The p-value is a statistical measure that helps determine the likelihood of obtaining a specific result by chance, assuming that the null hypothesis is\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/what-p-value-rejects-the-null\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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