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AdventuresomeLimit

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hypothesis testing statistics data analysis research methods

Summary

This document provides an overview of hypothesis testing, including null and alternative hypotheses, confidence levels, significance levels, and p-values. It also describes the chi-square test for analyzing frequency distributions, useful for determining independence between categorical variables.

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Ch 17. Hypothesis Testing Exampler of Hypothetis -IV M TDV...

Ch 17. Hypothesis Testing Exampler of Hypothetis -IV M TDV It is an not a carrer effectsociatioa Hypomeris Tue are not claiming that gender leadr to preference we are hypothiving that gender is asociative with preference ↳ preference for favored beer is dependent on gender what is a hypothes ? Hypothesis : statement/belief about come characteristics of a a population (population/parameter) or a possible answer to a research question · The goal of the hypother's is eppore/proport to on explanation for further investigation · stating hypothesis : - Null Hypotheis (Ho) : an initial claim that is based on Prior knowledge later to the. It tatur quo and implies that nothing changesMmater beis differences exist * no effects or relationships between Variable exint - Alternative Hypothesis (H , or Ha) : what the researcher believer or hoper to believe is true and wants to prom is true. Implies that a relationship bo variables exist and the matters being compared are different difference do exist amang them Null us Alternative Hypothesis Hypothesis testing · Main goal - get evidence to REJECT the full hypothesis If the evidente · is strong enough , we favor alternative Hypothesis · If evidence is NOT strong enough , we facer will hypothesis Muello o mechanism that is Hypothesis terting is ie adopted to matt on object decision (reject or accept) regarding the hypotherized Parameter Example : Is friend ? my Lying · hypothes Hull * alternative hypothesis Example: Testing my friend's claim Hypothesis Testing confidence tre 3 significance level ↓ - S% = as · Confidencetuel confidence level : the area under the curre bounded by the confidence interval significance Hull : represented by the red tail in the Picture significance level P-value % meaning now likely the null hypothesis if it were true if low p-value means that it is a low chance that nulhypotheriftimeanddt hull hypothesis our goal is to reject the null with certain confidence level Illustration of P-value 025 = # ↑ value is all about whether or not I reject the will hypothesis If pvalve calculated is lear than my my significancelevel a calpha) and alpha means that I have a percent chance that I am wrong when I reject the null hypothesis * means that Pralve a means can you reject the rullhypotri bl ationa Frequency Distribution Test : Chi Square Test · Chi square test : Use frequency countr as inputs wn the to analysis They use try frequency distribution of the sample tertindepende wocategoravablcal , variable uch as gender areMetdifferentt statistically independent : no influence Testing if those a categorical variables are independent of each other stewed to the right always tep 3 Step 4 Step S -Chi-square Step X Step 7 Step 7

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