{"id":202430,"date":"2025-05-11T04:36:08","date_gmt":"2025-05-11T04:36:08","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/"},"modified":"2025-05-11T04:36:08","modified_gmt":"2025-05-11T04:36:08","slug":"how-to-get-p-value-from-z-table","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/","title":{"rendered":"How to get p value from z table?"},"content":{"rendered":"<p>To get the p-value from a z-table, you first need to know the z-score of your data point. The z-score represents how many standard deviations away from the mean a data point is. Once you have the z-score, you can look it up in a standard normal distribution table, also known as a z-table, to find the corresponding p-value. The p-value is the probability of finding a value equal to or more extreme than the observed value under the null hypothesis.<\/p>\n<p>**To find the p-value from a z-table, follow these steps:**<br \/>\n1. Determine the z-score of your data point.<br \/>\n2. Look up the z-score in a standard normal distribution table (z-table).<br \/>\n3. Find the corresponding area under the curve for that z-score.<br \/>\n4. If the z-score is negative, subtract the area from 0.5 to get the p-value. If the z-score is positive, add 0.5 to the area.<\/p>\n<p>Given a z-score of -1.96, for example, you would find the corresponding area in the z-table, which is approximately 0.025. Since the z-score is negative, you would subtract 0.025 from 0.5 to get a p-value of 0.475.<\/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-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/#What_is_a_z-table\" title=\"What is a z-table?\">What is a z-table?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/#What_is_a_z-score\" title=\"What is a z-score?\">What is a z-score?<\/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-to-get-p-value-from-z-table\/#What_is_a_p-value\" title=\"What is a p-value?\">What is a p-value?<\/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-to-get-p-value-from-z-table\/#Why_is_the_p-value_important\" title=\"Why is the p-value important?\">Why is the p-value important?<\/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-to-get-p-value-from-z-table\/#How_do_you_interpret_a_p-value\" title=\"How do you interpret a p-value?\">How do you interpret a 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-to-get-p-value-from-z-table\/#What_does_it_mean_if_the_p-value_is_greater_than_005\" title=\"What does it mean if the p-value is greater than 0.05?\">What does it mean 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-7\" href=\"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/#Can_the_p-value_be_negative\" title=\"Can the p-value be negative?\">Can the 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\/how-to-get-p-value-from-z-table\/#How_does_the_confidence_level_relate_to_the_p-value\" title=\"How does the confidence level relate to the p-value?\">How does the confidence level relate to the p-value?<\/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-to-get-p-value-from-z-table\/#What_is_the_relationship_between_z-scores_and_p-values\" title=\"What is the relationship between z-scores and p-values?\">What is the relationship between z-scores and p-values?<\/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-to-get-p-value-from-z-table\/#Can_you_calculate_the_p-value_without_a_z-table\" title=\"Can you calculate the p-value without a z-table?\">Can you calculate the p-value without a z-table?<\/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-to-get-p-value-from-z-table\/#What_is_the_significance_level_in_hypothesis_testing\" title=\"What is the significance level in hypothesis testing?\">What is the significance level in hypothesis testing?<\/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-to-get-p-value-from-z-table\/#How_does_the_sample_size_affect_the_p-value\" title=\"How does the sample size affect the p-value?\">How does the sample size affect the p-value?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_z-table\"><\/span>What is a z-table?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA z-table is a statistical tool used to look up critical values of the standard normal distribution. It provides the area under the curve to the left of a given z-score, which can be used to calculate probabilities.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_z-score\"><\/span>What is a z-score?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA z-score is a measure of how many standard deviations a data point is away from the mean of a distribution. It standardizes data points to allow for comparison across different scales.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_a_p-value\"><\/span>What is a p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value is the probability of obtaining a result equal to or more extreme than the observed data point under the null hypothesis. It is used to determine the significance of a statistical test.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Why_is_the_p-value_important\"><\/span>Why is the p-value important?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe p-value helps researchers make decisions about hypotheses by providing a measure of the strength of the evidence against the null hypothesis. A low p-value indicates strong evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_do_you_interpret_a_p-value\"><\/span>How do you interpret a p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value less than or equal to a predetermined significance level (e.g., 0.05) indicates that the observed data is unlikely to have occurred by chance under the null hypothesis. Therefore, the null hypothesis can be rejected.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_does_it_mean_if_the_p-value_is_greater_than_005\"><\/span>What does it mean 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 the chosen significance level (e.g., 0.05), it suggests that the observed data is likely to have occurred by chance under the null hypothesis. In this case, the null hypothesis cannot be rejected.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_the_p-value_be_negative\"><\/span>Can the p-value be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the p-value cannot be negative. It represents the probability of obtaining a result as extreme as the observed data or more extreme under the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_does_the_confidence_level_relate_to_the_p-value\"><\/span>How does the confidence level relate to the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe confidence level is complementary to the p-value. A 95% confidence level corresponds to a p-value of 0.05, meaning that there is a 5% chance of observing the data if the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_relationship_between_z-scores_and_p-values\"><\/span>What is the relationship between z-scores and p-values?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nZ-scores and p-values are related in that z-scores are used to calculate p-values. The z-score indicates how extreme a data point is, while the p-value quantifies the likelihood of observing such extreme data under the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Can_you_calculate_the_p-value_without_a_z-table\"><\/span>Can you calculate the p-value without a z-table?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, you can calculate the p-value using statistical software or online calculators that provide functions to compute the area under the curve for a given z-score. However, a z-table is a convenient tool for manual calculations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"What_is_the_significance_level_in_hypothesis_testing\"><\/span>What is the significance level in hypothesis testing?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level, often denoted \u03b1 (alpha), is the probability of rejecting the null hypothesis when it is true. Commonly used significance levels include 0.05 and 0.01.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_does_the_sample_size_affect_the_p-value\"><\/span>How does the sample size affect the p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe sample size can affect the p-value by influencing the precision of the estimate. A larger sample size generally results in a smaller standard error, leading to more precise estimates and potentially smaller p-values.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>To get the p-value from a z-table, you first need to know the z-score of your data point. The z-score represents how many standard deviations away from the mean a data point is. Once you have the z-score, you can look it up in a standard normal distribution table, also known as a z-table, to &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How to get p value from z table?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-to-get-p-value-from-z-table\/#more-202430\">Read more<span class=\"screen-reader-text\">How to get p value from z table?<\/span><\/a><\/p>\n","protected":false},"author":51,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-202430","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 to get p value from z table?<\/title>\n<meta name=\"description\" content=\"To get the p-value from a z-table, you first need to know the z-score of your data point. 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