{"id":244930,"date":"2025-07-05T13:59:04","date_gmt":"2025-07-05T13:59:04","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244930"},"modified":"2025-07-05T13:59:06","modified_gmt":"2025-07-05T13:59:06","slug":"below-is-jmp-output-from-a-data-set-of-kickstarter-projects","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/below-is-jmp-output-from-a-data-set-of-kickstarter-projects\/","title":{"rendered":"Below is JMP output from a data set of Kickstarter projects"},"content":{"rendered":"\n
Below is JMP output from a data set of Kickstarter projects. MAIN CATEGORY – The main category assigned the type of project OUTCOME – Was the project funded Contingency Table MAIN CATEGORY Count Art 64 Fashion 46 Film & Music 146 Photography 84 Total 366 Row % Art 17.49% Fashion 12.57% Film & Music 39.89% Photography 22.95% Total 100% Expected Cell Count Art 65.45 Fashion 38.18 Film & Music 142.91 Photography 22.36 Chi^2 0.0323 Chi^2 1.6009 Chi^2 0.0669 Chi^2 1.7651 Outcome Successful 56 Failed 24 Cancelled 116 Suspended 94 Total 305 Row % Successful 18.36% Failed 7.87% Cancelled 38.03% Suspended 30.82% Total 100% Expected Cell Count Successful 54.55 Failed 31.82 Cancelled 119.09 Suspended 18.64 Chi^2 0.0388 Chi^2 1.9210 Chi^2 0.0802 Chi^2 2.1181 Total 120 70 262 178 41 671 4 Tests N DF -LogLike RSquare(U) 671 4 4.5029570 0.0047 Test ChiSquare Prob>ChiSq Likelihood Ratio 9.006 0.0610 Pearson 8.924 0.0630 Using a level of significance of 0.025, provide a complete interpretation of a Chi-Square test of independence hypothesis test.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
To interpret the Chi-Square test of independence hypothesis test results, let’s break down the problem step by step:<\/p>\n\n\n\n
1. Formulation of Hypotheses:<\/strong><\/h3>\n\n\n\n
\n
Null Hypothesis (H0):<\/strong> There is no association between the type of project (main category) and the outcome (funding status). The variables are independent.<\/li>\n\n\n\n
Alternative Hypothesis (H1):<\/strong> There is an association between the type of project (main category) and the outcome (funding status). The variables are dependent.<\/li>\n<\/ul>\n\n\n\n
2. Chi-Square Test Statistics:<\/strong><\/h3>\n\n\n\n
The test statistic is based on the comparison between the observed frequencies<\/strong> (from the contingency table) and the expected frequencies<\/strong> (calculated under the assumption that the variables are independent).<\/p>\n\n\n\n
\n
Chi-Square (\u03c7\u00b2) statistic for each category:<\/strong>\n
The Chi-Square statistic is calculated by summing the squared differences between observed and expected counts, divided by the expected count, for each category.<\/p>\n\n\n\n
The overall Chi-Square statistics are as follows:<\/p>\n\n\n\n
\n
Pearson Chi-Square Statistic:<\/strong> \u03c7\u00b2 = 8.924 with a p-value of 0.0630<\/strong><\/li>\n\n\n\n
Likelihood Ratio Chi-Square Statistic:<\/strong> \u03c7\u00b2 = 9.006 with a p-value of 0.0610<\/strong><\/li>\n<\/ul>\n\n\n\n
Both of these p-values are greater than the significance level (\u03b1 = 0.025). The p-value represents the probability of obtaining a Chi-Square statistic at least as extreme as the observed one, under the assumption that the null hypothesis is true.<\/p>\n\n\n\n
4. Interpretation:<\/strong><\/h3>\n\n\n\n
Since the p-values (0.0630 and 0.0610) are greater than the significance level (\u03b1 = 0.025)<\/strong>, we fail to reject the null hypothesis<\/strong>. This means there is insufficient evidence<\/strong> to conclude that the type of project and its funding outcome are related. In other words, the type of project is independent of its funding status<\/strong>.<\/p>\n\n\n\n
5. Conclusion:<\/strong><\/h3>\n\n\n\n
The test suggests that the outcome of Kickstarter projects (whether they were successful, failed, cancelled, or suspended)<\/strong> does not depend on the main category<\/strong> of the project (Art, Fashion, Film & Music, or Photography) at a significance level of 0.025. Therefore, no significant relationship<\/strong> exists between the type of project and its funding status.<\/p>\n\n\n\n
In simpler terms, the data does not support the idea that projects in different categories have different probabilities of success or failure.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
Below is JMP output from a data set of Kickstarter projects. MAIN CATEGORY – The main category assigned the type of project OUTCOME – Was the project funded Contingency Table MAIN CATEGORY Count Art 64 Fashion 46 Film & Music 146 Photography 84 Total 366 Row % Art 17.49% Fashion 12.57% Film & Music 39.89% […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244930","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244930","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244930"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244930\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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