{"id":259191,"date":"2024-05-22T18:57:31","date_gmt":"2024-05-22T18:57:31","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=259191"},"modified":"2024-05-22T18:57:31","modified_gmt":"2024-05-22T18:57:31","slug":"how-to-read-p-value-from-z-table","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-to-read-p-value-from-z-table\/","title":{"rendered":"How to read p-value from Z table?"},"content":{"rendered":"<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-to-read-p-value-from-z-table\/#Introduction\" title=\"Introduction\">Introduction<\/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\/how-to-read-p-value-from-z-table\/#How_to_Read_P-Value_from_Z_Table\" title=\"How to Read P-Value from Z Table?\">How to Read P-Value from Z Table?<\/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\/how-to-read-p-value-from-z-table\/#Frequently_Asked_Questions\" title=\"Frequently Asked Questions\">Frequently Asked Questions<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/how-to-read-p-value-from-z-table\/#1_What_is_a_p-value\" title=\"1. What is a p-value?\">1. 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-5\" href=\"https:\/\/namso-gen.co\/blog\/how-to-read-p-value-from-z-table\/#2_What_is_the_Z_table\" title=\"2. What is the Z table?\">2. What is the Z table?<\/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-read-p-value-from-z-table\/#3_What_does_a_z-score_represent\" title=\"3. What does a z-score represent?\">3. What does a z-score represent?<\/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-read-p-value-from-z-table\/#4_How_do_you_find_the_z-score\" title=\"4. How do you find the z-score?\">4. How do you find the z-score?<\/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-read-p-value-from-z-table\/#5_What_does_a_one-tailed_test_mean\" title=\"5. What does a one-tailed test mean?\">5. What does a one-tailed test mean?<\/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-read-p-value-from-z-table\/#6_When_do_we_use_a_two-tailed_test\" title=\"6. When do we use a two-tailed test?\">6. When do we use a two-tailed test?<\/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-read-p-value-from-z-table\/#7_What_is_the_significance_level\" title=\"7. What is the significance level?\">7. What is the significance level?<\/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-read-p-value-from-z-table\/#8_How_do_you_split_the_significance_level_for_a_two-tailed_test\" title=\"8. How do you split the significance level for a two-tailed test?\">8. How do you split the significance level for a two-tailed test?<\/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-read-p-value-from-z-table\/#9_What_if_the_exact_z-score_is_not_in_the_Z_table\" title=\"9. What if the exact z-score is not in the Z table?\">9. What if the exact z-score is not in the Z table?<\/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-to-read-p-value-from-z-table\/#10_How_does_the_p-value_relate_to_the_null_hypothesis\" title=\"10. How does the p-value relate to the null hypothesis?\">10. How does the p-value relate to the null hypothesis?<\/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-to-read-p-value-from-z-table\/#11_Can_the_p-value_be_greater_than_1\" title=\"11. Can the p-value be greater than 1?\">11. Can the 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-15\" href=\"https:\/\/namso-gen.co\/blog\/how-to-read-p-value-from-z-table\/#12_Why_is_it_important_to_interpret_p-values_correctly\" title=\"12. Why is it important to interpret p-values correctly?\">12. Why is it important to interpret p-values correctly?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction\"><\/span>Introduction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nIn statistics, the p-value is a crucial measure used to determine the significance of a statistical result. It quantifies the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. The Z table, also known as the standard normal table or the normal distribution table, helps in finding the p-value associated with a specific z-score. Understanding how to read p-values from a Z table is fundamental for interpreting statistical test results accurately.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Read_P-Value_from_Z_Table\"><\/span>How to Read P-Value from Z Table?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\nThe p-value can be determined by finding the corresponding value in the Z table based on the z-score calculated from the test statistic. Follow these steps to read the p-value from a Z table:<\/p>\n<p>1. Calculate the z-score: Start by computing the z-score using the formula: z = (x &#8211; \u03bc) \/ \u03c3, where x is the observed value, \u03bc is the mean, and \u03c3 is the standard deviation.<br \/>\n2. Determine the test statistic&#8217;s direction: Identify whether the test is one-tailed or two-tailed. A one-tailed test looks for an extreme value in only one direction, while a two-tailed test examines extreme values in both directions.<br \/>\n3. Locate the z-score: Locate the z-score closest to the calculated z-score in the Z table. If the exact value is not in the table, find the closest approximation.<\/p>\n<p><b>4. Read the p-value: Once you have found the corresponding z-score in the Z table, the p-value can be determined based on the test&#8217;s direction. For a one-tailed test, simply read the value under the z-score in the corresponding tail of the distribution. For a two-tailed test, split the significance level (\u03b1) in half and subtract each tail&#8217;s value from 0.5.<\/b><\/p>\n<p>5. Interpret the results: Compare the obtained p-value to the predetermined significance level (\u03b1) to make conclusions about the statistical significance of your hypothesis test. If the p-value is smaller than \u03b1, it suggests evidence against the null hypothesis.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions\"><\/span>Frequently Asked Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_a_p-value\"><\/span>1. What is a p-value?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA p-value is the probability of observing a test statistic as extreme as the one observed, assuming the null hypothesis is true.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_is_the_Z_table\"><\/span>2. What is the Z table?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA Z table, also known as the standard normal table, provides probabilities associated with a standard normal distribution. It helps in finding values corresponding to specific z-scores.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_What_does_a_z-score_represent\"><\/span>3. What does a z-score represent?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA z-score represents the number of standard deviations an observed value is from the mean of a distribution.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_How_do_you_find_the_z-score\"><\/span>4. How do you find the z-score?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe z-score can be calculated using the formula: z = (x &#8211; \u03bc) \/ \u03c3, where x is the observed value, \u03bc is the mean, and \u03c3 is the standard deviation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_What_does_a_one-tailed_test_mean\"><\/span>5. What does a one-tailed test mean?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA one-tailed test looks for extreme values in only one direction, either the right or the left tail of the distribution.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_When_do_we_use_a_two-tailed_test\"><\/span>6. When do we use a two-tailed test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nA two-tailed test is used when we are interested in extreme values in both directions of the distribution.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_What_is_the_significance_level\"><\/span>7. What is the significance level?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nThe significance level (\u03b1) is the predetermined threshold used to determine whether the obtained p-value is statistically significant. It is usually set at 0.05 or 0.01.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_How_do_you_split_the_significance_level_for_a_two-tailed_test\"><\/span>8. How do you split the significance level for a two-tailed test?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFor a two-tailed test, the significance level (\u03b1) is divided equally between the two tails. Each tail&#8217;s value is obtained by subtracting half of \u03b1 from 0.5.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_What_if_the_exact_z-score_is_not_in_the_Z_table\"><\/span>9. What if the exact z-score is not in the Z table?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the exact z-score is not in the table, find the closest approximation. The table provides values up to two decimal places.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_How_does_the_p-value_relate_to_the_null_hypothesis\"><\/span>10. How does the p-value relate to the null hypothesis?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nIf the p-value is smaller than the predetermined significance level, it provides evidence against the null hypothesis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_Can_the_p-value_be_greater_than_1\"><\/span>11. Can the p-value be greater than 1?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, the maximum value of a p-value is 1. It represents the probability, which cannot exceed 100%.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Why_is_it_important_to_interpret_p-values_correctly\"><\/span>12. Why is it important to interpret p-values correctly?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nInterpreting p-values correctly is crucial as it helps in making accurate statistical conclusions, determining the significance of results, and guiding decision-making in various fields.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction In statistics, the p-value is a crucial measure used to determine the significance of a statistical result. It quantifies the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. The Z table, also known as the standard normal table or the normal distribution table, helps &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How to read p-value from Z table?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-to-read-p-value-from-z-table\/#more-259191\">Read more<span class=\"screen-reader-text\">How to read p-value from Z table?<\/span><\/a><\/p>\n","protected":false},"author":65,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-259191","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 read p-value from Z table?<\/title>\n<meta name=\"description\" content=\"Introduction In statistics, the p-value is a crucial measure used to determine the significance of a statistical result. 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