Two Tailed Critical Regions With The Binomial Distribution On A Casio fx-CG50

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⨸ Aʙᴏᴜᴛ Tʜɪs Vɪᴅᴇᴏ ⨸
In this video we look at how to find the critical region for a two tailed test, where H₁ does not equal 0. The regions must be found separately and given as close to the specified significance level as possible.
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𝘍𝘰𝘳 𝘷𝘪𝘥𝘦𝘰𝘴 𝘤𝘰𝘯𝘤𝘦𝘳𝘯𝘪𝘯𝘨 𝘢 𝘊𝘢𝘴𝘪𝘰 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳, 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳 𝘚𝘺𝘮𝘣𝘰𝘭𝘴, 𝘔𝘰𝘥𝘦𝘴, 𝘐𝘮𝘢𝘨𝘦𝘴 & 𝘗𝘳𝘰𝘥𝘶𝘤𝘵 𝘕𝘢𝘮𝘦𝘴. 𝘢𝘳𝘦 𝘊𝘰𝘱𝘺𝘳𝘪𝘨𝘩𝘵© 𝘊𝘢𝘴𝘪𝘰 𝘊𝘰𝘮𝘱𝘶𝘵𝘦𝘳 𝘊𝘰. 𝘓𝘵𝘥 . 𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘴 𝘧𝘳𝘰𝘮 𝘰𝘵𝘩𝘦𝘳 𝘤𝘰𝘮𝘱𝘢𝘯𝘪𝘦𝘴 𝘮𝘢𝘺 𝘴𝘰𝘮𝘦𝘵𝘪𝘮𝘦𝘴 𝘧𝘦𝘢𝘵𝘶𝘳𝘦, 𝘪𝘯𝘤𝘭𝘶𝘥𝘪𝘯𝘨 𝘛𝘦𝘹𝘢𝘴 𝘐𝘯𝘴𝘵𝘳𝘶𝘮𝘦𝘯𝘵𝘴, 𝘕𝘶𝘮𝘸𝘰𝘳𝘬𝘴 & 𝘚𝘩𝘢𝘳𝘱. 𝘛𝘩𝘦𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘎𝘶𝘪𝘥𝘦.𝘊𝘰𝘮 𝘦𝘢𝘳𝘯𝘴 𝘮𝘰𝘯𝘦𝘺 𝘧𝘳𝘰𝘮 𝘥𝘪𝘴𝘱𝘭𝘢𝘺 𝘢𝘥𝘴 & 𝘢𝘧𝘧𝘪𝘭𝘪𝘢𝘵𝘦 𝘭𝘪𝘯𝘬𝘴. 𝘓𝘪𝘯𝘬𝘴 𝘛𝘰 𝘗𝘳𝘰𝘥𝘶𝘤𝘵𝘴 & 𝘛𝘩𝘪𝘳𝘥 𝘗𝘢𝘳𝘵𝘺 𝘞𝘦𝘣𝘴𝘪𝘵𝘦𝘴 𝘴𝘶𝘤𝘩 𝘢𝘴 𝘈𝘮𝘢𝘻𝘰𝘯 𝘢𝘯𝘥 𝘰𝘵𝘩𝘦𝘳 𝘳𝘦𝘵𝘢𝘪𝘭𝘦𝘳𝘴 𝘢𝘳𝘦 𝘢𝘧𝘧𝘪𝘭𝘪𝘢𝘵𝘦 𝘭𝘪𝘯𝘬𝘴. 𝘐𝘧 𝘺𝘰𝘶 𝘤𝘭𝘪𝘤𝘬 𝘰𝘯 𝘵𝘩𝘦𝘴𝘦 & 𝘣𝘶𝘺 𝘢 𝘱𝘳𝘰𝘥𝘶𝘤𝘵 𝘵𝘩𝘦𝘯 𝘛𝘩𝘦𝘊𝘢𝘭𝘤𝘶𝘭𝘢𝘵𝘰𝘳𝘎𝘶𝘪𝘥𝘦.𝘊𝘰𝘮 𝘳𝘦𝘤𝘦𝘪𝘷𝘦𝘴 𝘢 𝘴𝘮𝘢𝘭𝘭 𝘤𝘰𝘮𝘮𝘪𝘴𝘴𝘪𝘰𝘯 𝘢𝘵 𝘯𝘰 𝘦𝘹𝘵𝘳𝘢 𝘤𝘰𝘴𝘵 𝘵𝘰 𝘺𝘰𝘶. 𝘛𝘩𝘪𝘴 𝘩𝘦𝘭𝘱𝘴 𝘴𝘶𝘱𝘱𝘰𝘳𝘵 𝘵𝘩𝘦 𝘤𝘩𝘢𝘯𝘯𝘦𝘭 & 𝘢𝘭𝘭𝘰𝘸𝘴 𝘮𝘦 𝘵𝘰 𝘤𝘰𝘯𝘵𝘪𝘯𝘶𝘦 𝘵𝘰 𝘮𝘢𝘬𝘦 𝘷𝘪𝘥𝘦𝘰𝘴.

[@nanabafynn7295]

Thank you so much, This video was super helpful I'd be failing stats without these videos!

[@AceOfHearts001]

Awesome and I think its a great idea to use the Distributions app for critical region. Unfortunately I hardly come here because all the stats functions are in the Statistics app. I wish this facility was integrared within the stats ap i.e. when performing Bonomial probablity calculations in stats ap we should be able to transition to this view...

[@TheCalculatorGuide]

I agree.

[@mahdiyanazari8447]

Hi! I was wondering if you are able to change the language from Spanish to English in the Casio calculator model fx-570sp X II

[@TheCalculatorGuide]

No it is just the languages shown on that model. 1 Castellano, 2 Catala 3 Euskara 4 Portugues

[@Urpenspenchodd]

Hi, i have a cg50 myself however i dont have the option for the distribution app is there anyway i could use the statistics app to help with this question

[@TheCalculatorGuide]

The distribution app is a downloadable extra via the Casio education site. I believe you can do this also via the Statistics App.

[@AthulL-wi6bh]

How do I enter cos^4 in my casio fx-cg50 calculator?

[@ArjanGroenenboom]

(cos x)^4

[@khezermalik2328]

for a two tail test aren't we meant to divide the significance level by 2 ? and then wouldn't we type that in the calculator instead ?

[@TheCalculatorGuide]

Just pay close attention to the phrasing of the question here. “…ensure that the probability in each tail is as close as possible to 5%.” Hence the stated significance level is 10%

[@edvin6460]

@@TheCalculatorGuide Surely by saying it has to be as close as possible to 5% we would use the value even above the critical region as its closer

[@aalexdani]

@@edvin6460it wouldn’t be in the critical region then