{"id":216430,"date":"2023-11-12T23:59:14","date_gmt":"2023-11-12T23:59:14","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/"},"modified":"2023-11-12T23:59:14","modified_gmt":"2023-11-12T23:59:14","slug":"what-p-value-supports-the-alternative-hypothesis","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/","title":{"rendered":"What P value supports the alternative hypothesis?"},"content":{"rendered":"<p>When conducting hypothesis testing, the p-value is a crucial component used to assess the strength of evidence in support of or against a particular hypothesis. In statistical terms, the p-value represents the probability of obtaining results as extreme as the observed data, assuming that the null hypothesis is true. If the p-value is small enough, it provides evidence to reject the null hypothesis in favor of the alternative hypothesis. But what p-value supports the alternative 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-p-value-supports-the-alternative-hypothesis\/#What_is_the_alternative_hypothesis\" title=\"What is the alternative hypothesis?\">What is the alternative hypothesis?<\/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-supports-the-alternative-hypothesis\/#Understanding_p-values\" title=\"Understanding p-values\">Understanding p-values<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#The_critical_p-value\" title=\"The critical p-value\">The critical p-value<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#What_p-value_supports_the_alternative_hypothesis\" title=\"What p-value supports the alternative hypothesis?\">What p-value supports the alternative hypothesis?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Example\" title=\"Example:\">Example:<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions:\">Frequently Asked Questions:<\/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-supports-the-alternative-hypothesis\/#Q1_What_happens_if_the_p-value_is_larger_than_the_significance_level_alpha\" title=\"Q1: What happens if the p-value is larger than the significance level (alpha)?\">Q1: What happens if the p-value is larger than the significance level (alpha)?<\/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-supports-the-alternative-hypothesis\/#Q2_Is_there_a_universally_agreed-upon_significance_level\" title=\"Q2: Is there a universally agreed-upon significance level?\">Q2: Is there a universally agreed-upon significance level?<\/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-supports-the-alternative-hypothesis\/#Q3_What_if_we_choose_a_more_stringent_significance_level\" title=\"Q3: What if we choose a more stringent significance level?\">Q3: What if we choose a more stringent significance level?<\/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-supports-the-alternative-hypothesis\/#Q4_Can_we_interpret_the_p-value_as_the_probability_that_the_null_hypothesis_is_true\" title=\"Q4: Can we interpret the p-value as the probability that the null hypothesis is true?\">Q4: Can we interpret the p-value as the probability that the null hypothesis is true?<\/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-supports-the-alternative-hypothesis\/#Q5_What_if_the_p-value_is_very_small\" title=\"Q5: What if the p-value is very small?\">Q5: What if the p-value is very small?<\/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-supports-the-alternative-hypothesis\/#Q6_Can_a_p-value_be_negative\" title=\"Q6: Can a p-value be negative?\">Q6: 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-13\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Q7_Does_a_smaller_p-value_guarantee_the_alternative_hypothesis_is_true\" title=\"Q7: Does a smaller p-value guarantee the alternative hypothesis is true?\">Q7: Does a smaller p-value guarantee the alternative hypothesis is true?<\/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-supports-the-alternative-hypothesis\/#Q8_What_if_the_p-value_is_equal_to_the_significance_level\" title=\"Q8: What if the p-value is equal to the significance level?\">Q8: What if the p-value is equal to the significance level?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Q9_Is_the_p-value_the_only_factor_in_deciding_which_hypothesis_to_support\" title=\"Q9: Is the p-value the only factor in deciding which hypothesis to support?\">Q9: Is the p-value the only factor in deciding which hypothesis to support?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Q10_Can_we_have_a_p-value_of_exactly_0\" title=\"Q10: Can we have a p-value of exactly 0?\">Q10: Can we have a p-value of exactly 0?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Q11_Can_we_compare_p-values_across_different_studies\" title=\"Q11: Can we compare p-values across different studies?\">Q11: Can we compare p-values across different studies?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#Q12_Can_we_use_p-values_alone_to_draw_conclusions\" title=\"Q12: Can we use p-values alone to draw conclusions?\">Q12: Can we use p-values alone to draw conclusions?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_alternative_hypothesis\"><\/span>What is the alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Before addressing the question, it&#8217;s important to understand what the alternative hypothesis is. In hypothesis testing, the alternative hypothesis is the statement that contradicts the null hypothesis. It suggests that there is a difference, an effect, or a relationship between variables of interest.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Understanding_p-values\"><\/span>Understanding p-values<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The p-value is a measure of evidence against the null hypothesis. It quantifies the probability of observing results as extreme or more extreme than what is actually observed, given that the null hypothesis is true. In general, the smaller the p-value, the stronger the evidence against the null hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_critical_p-value\"><\/span>The critical p-value<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To decide whether to reject the null hypothesis in favor of the alternative hypothesis, a significance level (alpha) is predetermined. This significance level determines the critical p-value. If the calculated p-value is smaller than the critical p-value, the null hypothesis is rejected in favor of the alternative hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_p-value_supports_the_alternative_hypothesis\"><\/span>What p-value supports the alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>**The p-value that supports the alternative hypothesis is any value lower than the predetermined significance level (alpha).** If the calculated p-value is less than the chosen alpha value, it indicates that the observed data is unlikely to occur if the null hypothesis is true, supporting the alternative hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Example\"><\/span>Example:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nSuppose we want to determine if a new drug treatment is more effective than the standard treatment. We set our significance level at 0.05 (alpha = 0.05). After conducting the study and analyzing the data, we find that the calculated p-value is 0.02. Since 0.02 is less than 0.05, we have enough evidence to reject the null hypothesis and support the alternative hypothesis, indicating that the new drug treatment is indeed more effective.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span>Frequently Asked Questions:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"Q1_What_happens_if_the_p-value_is_larger_than_the_significance_level_alpha\"><\/span>Q1: What happens if the p-value is larger than the significance level (alpha)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA1: If the p-value is larger than the significance level (alpha), it suggests that the observed data could reasonably occur even if the null hypothesis is true, and therefore, there is not enough evidence to support the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q2_Is_there_a_universally_agreed-upon_significance_level\"><\/span>Q2: Is there a universally agreed-upon significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA2: Although the significance level of 0.05 is commonly used, the choice of significance level may vary depending on the field of study and the specific research question. It is important to select a significance level carefully and justify its use.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q3_What_if_we_choose_a_more_stringent_significance_level\"><\/span>Q3: What if we choose a more stringent significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA3: If a more stringent significance level is chosen, such as 0.01, it requires stronger evidence against the null hypothesis to reject it in favor of the alternative hypothesis. The p-value needs to be smaller than the chosen significance level to support the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q4_Can_we_interpret_the_p-value_as_the_probability_that_the_null_hypothesis_is_true\"><\/span>Q4: Can we interpret the p-value as the probability that the null hypothesis is true?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA4: No, the p-value does not directly provide information about the probability of the null hypothesis being true. It only measures the strength of evidence against the null hypothesis based on the observed data.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q5_What_if_the_p-value_is_very_small\"><\/span>Q5: What if the p-value is very small?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA5: If the p-value is extremely small, close to 0, it suggests that the observed data is highly unlikely to occur if the null hypothesis is true. This provides strong evidence in support of the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q6_Can_a_p-value_be_negative\"><\/span>Q6: Can a p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA6: No, a p-value cannot be negative. It is always a probability between 0 and 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q7_Does_a_smaller_p-value_guarantee_the_alternative_hypothesis_is_true\"><\/span>Q7: Does a smaller p-value guarantee the alternative hypothesis is true?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA7: No, rejecting the null hypothesis based on a small p-value does not necessarily imply that the alternative hypothesis is true. It only suggests that there is strong evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q8_What_if_the_p-value_is_equal_to_the_significance_level\"><\/span>Q8: What if the p-value is equal to the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA8: If the p-value is equal to the significance level (alpha), it is considered to be on the boundary. In such cases, the decision to reject or fail to reject the null hypothesis may depend on additional factors, such as the study&#8217;s power and the potential consequences of Type I and Type II errors.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q9_Is_the_p-value_the_only_factor_in_deciding_which_hypothesis_to_support\"><\/span>Q9: Is the p-value the only factor in deciding which hypothesis to support?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA9: No, while the p-value is an important factor, it should not be the sole basis for decision-making. Other factors, such as the study&#8217;s design, effect size, practical significance, and prior evidence, should also be considered.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q10_Can_we_have_a_p-value_of_exactly_0\"><\/span>Q10: Can we have a p-value of exactly 0?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA10: P-values are calculated based on continuous probability distributions, so an exact p-value of 0 is theoretically possible but highly unlikely in practice due to rounding limitations and measurement errors.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q11_Can_we_compare_p-values_across_different_studies\"><\/span>Q11: Can we compare p-values across different studies?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA11: Generally, p-values should not be compared directly across different studies since the significance level and context may differ. Interpreting p-values within the context of the study at hand is more appropriate.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Q12_Can_we_use_p-values_alone_to_draw_conclusions\"><\/span>Q12: Can we use p-values alone to draw conclusions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA12: No, p-values should not be interpreted in isolation. They should be considered alongside other statistical measures, effect sizes, and scientific reasoning to draw meaningful conclusions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When conducting hypothesis testing, the p-value is a crucial component used to assess the strength of evidence in support of or against a particular hypothesis. In statistical terms, the p-value represents the probability of obtaining results as extreme as the observed data, assuming that the null hypothesis is true. If the p-value is small enough, &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"What P value supports the alternative hypothesis?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/#more-216430\">Read more<span class=\"screen-reader-text\">What P value supports the alternative hypothesis?<\/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-216430","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 supports the alternative hypothesis?<\/title>\n<meta name=\"description\" content=\"When conducting hypothesis testing, the p-value is a crucial component used to assess the strength of evidence in support of or against a particular\" \/>\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-supports-the-alternative-hypothesis\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What P value supports the alternative hypothesis?\" \/>\n<meta property=\"og:description\" content=\"When conducting hypothesis testing, the p-value is a crucial component used to assess the strength of evidence in support of or against a particular\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/what-p-value-supports-the-alternative-hypothesis\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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