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Link Between Confidence Intervals and Hypothesis Testing definitions

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  • Confidence Interval
    A range of values calculated from sample data that likely contains the true population parameter with a specified probability.
  • Hypothesis Test
    A statistical procedure used to evaluate claims about a population parameter by analyzing sample data.
  • Population Mean
    The average value of all members in a population, often denoted by the Greek letter mu.
  • Null Hypothesis
    An initial assumption about a population parameter, typically stating no effect or no difference.
  • Alternative Hypothesis
    A statement that contradicts the null hypothesis, suggesting a different value or relationship.
  • Critical Value
    A threshold from statistical tables used to determine the boundaries of the rejection region in hypothesis testing.
  • Rejection Region
    The area in the distribution where the test statistic leads to rejecting the null hypothesis.
  • Test Statistic
    A value calculated from sample data used to decide whether to reject the null hypothesis.
  • Margin of Error
    The amount added and subtracted from the point estimate to create a confidence interval.
  • Alpha
    The probability of making a Type I error, representing the significance level in hypothesis testing.
  • Z Table
    A reference chart listing probabilities and critical values for the standard normal distribution.
  • Point Estimate
    A single value derived from sample data used to approximate a population parameter.
  • Two-Tailed Test
    A hypothesis test where the rejection region is split between both ends of the distribution.
  • Population Standard Deviation
    A measure of variability for all members in a population, denoted by the Greek letter sigma.
  • Population Proportion
    The fraction or percentage of a population exhibiting a certain characteristic, denoted by p.