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Goodness of FIt Test Using TI-84 definitions

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  • Goodness-of-Fit Test
    Statistical procedure comparing observed frequencies to expected frequencies based on a claimed distribution.
  • TI-84
    Graphing calculator model used to perform statistical tests, including the chi-square goodness-of-fit test.
  • Observed Frequencies
    Actual counts collected from a sample for each category in a statistical study.
  • Expected Values
    Calculated counts for each category assuming the claim distribution is true, often using sample size and number of categories.
  • Claim Distribution
    Hypothesized allocation of frequencies across categories, used as a basis for comparison in statistical tests.
  • Null Hypothesis
    Assumption that observed frequencies match the claim distribution, serving as the default position in statistical testing.
  • Alternative Hypothesis
    Statement suggesting observed frequencies differ from the claim distribution, opposing the null hypothesis.
  • Significance Level
    Threshold probability, often denoted as alpha, used to determine whether to reject the null hypothesis.
  • Degrees of Freedom
    Value calculated as the number of categories minus one, influencing the shape of the chi-square distribution.
  • Chi-Square Statistic
    Numerical value measuring the discrepancy between observed and expected frequencies in a goodness-of-fit test.
  • P-Value
    Probability indicating how likely observed data would occur if the null hypothesis were true; compared to alpha for decision-making.
  • Contribution Values
    Individual category values showing how much each observed frequency adds to the overall chi-square statistic.
  • Alpha
    Symbol representing the significance level, commonly set at 0.05 in hypothesis testing.
  • Stat Button
    TI-84 calculator key used to access statistical functions and data entry menus.
  • Chi-Square GOF Test Function
    TI-84 menu option for performing the goodness-of-fit test, specifically comparing observed and expected frequencies.