Skip to main content
Back

Link Between Confidence Intervals and Hypothesis Testing definitions

Control buttons has been changed to "navigation" mode.
1/15
  • Confidence Interval
    A range of values, centered on a sample statistic, used to estimate a population parameter with a specified confidence level.
  • Hypothesis Test
    A statistical method for evaluating a claim about a population parameter using sample data and a formal decision rule.
  • Population Mean
    The average value of a variable for all members of a group being studied, often denoted by the Greek letter mu.
  • Null Hypothesis
    A default assumption that a population parameter equals a specific value, serving as the starting point for statistical testing.
  • Alternative Hypothesis
    A statement that contradicts the null hypothesis, suggesting the population parameter differs from the claimed value.
  • Critical Value
    A cutoff point on the test statistic scale that defines the boundaries of the rejection region for a hypothesis test.
  • Rejection Region
    The set of values for a test statistic that leads to rejection of the null hypothesis in favor of the alternative.
  • Alpha
    The probability of making a Type I error, representing the significance level or the chance of incorrectly rejecting the null hypothesis.
  • Margin of Error
    The maximum expected difference between the sample statistic and the true population parameter for a given confidence level.
  • Z Score
    A standardized value indicating how many standard deviations a data point or statistic is from the population mean.
  • Two-Tailed Test
    A hypothesis test where the rejection regions are located in both tails of the sampling distribution, checking for differences in either direction.
  • Sample Mean
    The average value calculated from a subset of the population, used as a point estimate for the population mean.
  • Population Standard Deviation
    A measure of the spread of all values in a population, denoted by the Greek letter sigma.
  • Point Estimate
    A single value derived from sample data that serves as the best guess for an unknown population parameter.
  • Population Proportion
    The fraction or percentage of members in a population with a particular characteristic, often denoted by p.