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Independence Test Using TI-84 definitions

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  • Chi-square Test

    Statistical method comparing observed and expected frequencies in categorical data to assess variable relationships.
  • Independence Test

    Procedure evaluating whether two categorical variables are unrelated using contingency tables and statistical analysis.
  • TI-84

    Graphing calculator model equipped with functions for statistical tests, including matrix operations and chi-square analysis.
  • Matrix

    Rectangular array used to organize and input categorical data for statistical calculations on a calculator.
  • Observed Frequency

    Actual count of occurrences recorded in each cell of a contingency table during a study.
  • Expected Frequency

    Calculated value predicting how often an outcome should occur if variables are independent.
  • Null Hypothesis

    Assumption stating variables have no association, serving as the default claim in statistical tests.
  • Alternative Hypothesis

    Statement proposing a relationship or dependence between variables, tested against the null claim.
  • P-value

    Probability measure indicating the strength of evidence against the null hypothesis in statistical testing.
  • Significance Level

    Threshold, often denoted as alpha, used to determine whether to reject the null hypothesis based on p-value.
  • Contingency Table

    Grid organizing categorical data to display frequencies for combinations of variable categories.
  • Homogeneity Test

    Statistical procedure comparing distributions across groups to assess if they share the same proportions.
  • Stat Button

    Calculator key providing access to statistical functions, including test menus for hypothesis testing.
  • Hypothesis

    Proposed explanation or claim about variable relationships, forming the basis for statistical testing.
  • Alpha

    Preset probability threshold, commonly 0.05, guiding decisions on statistical significance in hypothesis tests.