{"id":214066,"date":"2024-02-17T05:22:51","date_gmt":"2024-02-17T05:22:51","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/"},"modified":"2024-02-17T05:22:51","modified_gmt":"2024-02-17T05:22:51","slug":"how-do-you-get-a-p-value-from-a-hypothesis","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/","title":{"rendered":"How do you get a p-value from a hypothesis?"},"content":{"rendered":"<p>When testing a hypothesis, the p-value is a crucial statistical measure that helps us determine the strength of evidence against the null hypothesis. It quantifies the probability of observing the given data or more extreme results under the assumption that the null hypothesis is true. Calculating a p-value involves several steps, and understanding these steps is essential for interpreting the results of hypothesis tests correctly.<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#The_Process_of_Obtaining_a_p-value\" title=\"The Process of Obtaining a p-value:\">The Process of Obtaining a p-value:<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#1_Define_the_null_and_alternative_hypotheses\" title=\"1. Define the null and alternative hypotheses:\">1. Define the null and alternative hypotheses:<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#2_Choose_an_appropriate_statistical_test\" title=\"2. Choose an appropriate statistical test:\">2. Choose an appropriate statistical test:<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#3_Collect_and_analyze_the_data\" title=\"3. Collect and analyze the data:\">3. Collect and analyze the data:<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#4_Calculate_the_p-value\" title=\"4. Calculate the p-value:\">4. Calculate the p-value:<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#5_Compare_the_p-value_to_the_significance_level\" title=\"5. Compare the p-value to the significance level:\">5. Compare the p-value to the significance level:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#Related_FAQs\" title=\"Related FAQs:\">Related FAQs:<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#1_What_is_the_null_hypothesis\" title=\"1. What is the null hypothesis?\">1. 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-9\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#2_What_is_the_alternative_hypothesis\" title=\"2. What is the alternative hypothesis?\">2. 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-10\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#3_What_is_a_statistical_test\" title=\"3. What is a statistical test?\">3. What is a statistical test?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#4_What_is_a_test_statistic\" title=\"4. What is a test statistic?\">4. What is a test statistic?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#5_How_is_the_p-value_interpreted\" title=\"5. How is the p-value interpreted?\">5. How is the p-value interpreted?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#6_What_is_a_significance_level\" title=\"6. What is a significance level?\">6. What is a significance level?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#7_Why_is_it_important_to_choose_an_appropriate_statistical_test\" title=\"7. Why is it important to choose an appropriate statistical test?\">7. Why is it important to choose an appropriate statistical test?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#8_How_does_sample_size_affect_the_p-value\" title=\"8. How does sample size affect the p-value?\">8. How does sample size affect the p-value?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#9_Can_a_smaller_p-value_be_interpreted_as_proof_of_the_alternative_hypothesis\" title=\"9. Can a smaller p-value be interpreted as proof of the alternative hypothesis?\">9. Can a smaller p-value be interpreted as proof of the alternative hypothesis?<\/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\/how-do-you-get-a-p-value-from-a-hypothesis\/#10_Is_a_p-value_of_005_always_considered_statistically_significant\" title=\"10. Is a p-value of 0.05 always considered statistically significant?\">10. 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-18\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#11_Can_a_p-value_be_greater_than_1\" title=\"11. Can a p-value be greater than 1?\">11. Can a p-value be greater than 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#12_Can_we_accept_the_null_hypothesis_if_the_p-value_is_larger_than_the_significance_level\" title=\"12. Can we accept the null hypothesis if the p-value is larger than the significance level?\">12. Can we accept the null hypothesis if the p-value is larger than the significance level?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"The_Process_of_Obtaining_a_p-value\"><\/span>The Process of Obtaining a p-value:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_Define_the_null_and_alternative_hypotheses\"><\/span>1. Define the null and alternative hypotheses:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nBefore calculating the p-value, it is necessary to clearly state the null hypothesis (H0) and the alternative hypothesis (Ha) that will be tested.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_Choose_an_appropriate_statistical_test\"><\/span>2. Choose an appropriate statistical test:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe choice of statistical test depends on the nature of the data and the research question. Common tests include t-tests, chi-square tests, and ANOVA tests, among others.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Collect_and_analyze_the_data\"><\/span>3. Collect and analyze the data:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nCollect the relevant data and perform the chosen statistical test using a suitable software or statistical calculator. The test will generate a test statistic, which represents the discrepancy between the observed data and the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Calculate_the_p-value\"><\/span>4. Calculate the p-value:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value is computed based on the test statistic and the assumed null distribution. It indicates the probability of obtaining a test statistic as extreme as the observed one (or more extreme) if the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Compare_the_p-value_to_the_significance_level\"><\/span>5. Compare the p-value to the significance level:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level (\u03b1) is set before conducting the test and represents the threshold below which the null hypothesis is rejected. Commonly used significance levels are 0.05 or 0.01. If the p-value is smaller than the chosen significance level, the null hypothesis is rejected in favor of the alternative hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Related_FAQs\"><\/span>Related FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_the_null_hypothesis\"><\/span>1. What is the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe null hypothesis is a statement of no effect or no difference between variables. It serves as a point of reference for hypothesis testing.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_is_the_alternative_hypothesis\"><\/span>2. What is the alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe alternative hypothesis expresses what the researcher believes to be true or expects to find. It contradicts the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_What_is_a_statistical_test\"><\/span>3. What is a statistical test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA statistical test is a procedure used to determine the likelihood of a hypothesis being true based on the data collected.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_What_is_a_test_statistic\"><\/span>4. What is a test statistic?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA test statistic is a numerical summary derived from the data, which is used to assess the evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_How_is_the_p-value_interpreted\"><\/span>5. How is the p-value interpreted?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value indicates the strength of evidence against the null hypothesis. A smaller p-value suggests stronger evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_What_is_a_significance_level\"><\/span>6. What is a significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level (\u03b1) is the threshold below which the null hypothesis is rejected. It represents the probability of incorrectly rejecting the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Why_is_it_important_to_choose_an_appropriate_statistical_test\"><\/span>7. Why is it important to choose an appropriate statistical test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nSelecting the right statistical test ensures that the chosen method aligns with the data and research question, leading to accurate and reliable results.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_How_does_sample_size_affect_the_p-value\"><\/span>8. How does sample size affect the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nWith larger sample sizes, even small deviations from the null hypothesis can yield statistically significant results, decreasing the p-value.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Can_a_smaller_p-value_be_interpreted_as_proof_of_the_alternative_hypothesis\"><\/span>9. Can a smaller p-value be interpreted as proof of the alternative hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a smaller p-value indicates stronger evidence against the null hypothesis, but it does not offer definitive proof of the alternative hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Is_a_p-value_of_005_always_considered_statistically_significant\"><\/span>10. Is a p-value of 0.05 always considered statistically significant?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value of 0.05 is a commonly used significance level, but its interpretation depends on the context and specific research field.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_a_p-value_be_greater_than_1\"><\/span>11. Can a p-value be greater than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, a p-value cannot exceed 1. It represents a probability and ranges from 0 to 1.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Can_we_accept_the_null_hypothesis_if_the_p-value_is_larger_than_the_significance_level\"><\/span>12. Can we accept the null hypothesis if the p-value is larger than the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, if the p-value is greater than the chosen significance level, we do not reject the null hypothesis. However, one cannot prove that the null hypothesis is true by this result alone.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When testing a hypothesis, the p-value is a crucial statistical measure that helps us determine the strength of evidence against the null hypothesis. It quantifies the probability of observing the given data or more extreme results under the assumption that the null hypothesis is true. Calculating a p-value involves several steps, and understanding these steps &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How do you get a p-value from a hypothesis?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-do-you-get-a-p-value-from-a-hypothesis\/#more-214066\">Read more<span class=\"screen-reader-text\">How do you get a p-value from a 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-214066","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>How do you get a p-value from a hypothesis?<\/title>\n<meta name=\"description\" content=\"When testing a hypothesis, the p-value is a crucial statistical measure that helps us determine the strength of evidence against the null hypothesis. 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