This adjustment is called degrees of freedom (df), which is the sample size \((n) - 1\) The student's t-distribution is adjusted for the uncertainty from smaller samples. The size of the rejection region is decided by the significance level (\(\alpha\)). Welch Two Sample t-test data: X1 and X2 t 1.6585, df 10.036, p-value 0.1281 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -2.539749 17.355816 sample estimates: mean of x mean of y 43.20514 35. The rejection region is an area of probability in the tails of the standard normal distribution.īecause the claim is that the population proportion is different from 60, the rejection region is split into both the left and right tail: var.y sd.y2 calculate test statistic point.estimate mean.y - mean.x se sqrt((var.x/n.x). This critical T-value (CV) defines the rejection region for the test. Hypothesis Testing - Calculating p-value Using Data. The Critical Value Approachįor the critical value approach we need to find the critical value (CV) of the significance level (\(\alpha\)).įor a population mean test, the critical value (CV) is a T-value from a student's t-distribution. Note: The two approaches are only different in how they present the conclusion. Stat Reference Stat Z-Table Stat T-Table Stat Hypothesis Testing Proportion (Left Tailed) Stat Hypothesis Testing Proportion (Two Tailed) Stat Hypothesis Testing Mean (Left Tailed) Stat Hypothesis Testing Mean (Two Tailed) Inferential Statistics Stat Statistical Inference Stat Normal Distribution Stat Standard Normal Distribution Stat Students T-Distribution Stat Estimation Stat Population Proportion Estimation Stat Population Mean Estimation Stat Hypothesis Testing Stat Hypothesis Testing Proportion Stat Hypothesis Testing Mean Statistics Tutorial Stat HOME Stat Introduction Stat Gathering Data Stat Describing Data Stat Making Conclusions Stat Prediction & Explanation Stat Populations & Samples Stat Parameters & Statistics Stat Study Types Stat Sample Types Stat Data Types Stat Measurement Levelsĭescriptive Statistics Stat Descriptive Statistics Stat Frequency Tables Stat Histograms Stat Bar Graphs Stat Pie Charts Stat Box Plots Stat Average Stat Mean Stat Median Stat Mode Stat Variation Stat Range Stat Quartiles and Percentiles Stat Interquartile Range Stat Standard Deviation
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