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Two Proportions Hypothesis Test - Excel definitions
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Null Hypothesis
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Null Hypothesis
Assumes no difference between two population proportions, serving as the baseline for statistical testing.
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Termini in questo insieme (15)
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Null Hypothesis
Assumes no difference between two population proportions, serving as the baseline for statistical testing.
Alternative Hypothesis
Represents the claim being tested, suggesting a difference or inequality between two population proportions.
Sample Proportion
Calculated by dividing the count of successes in a sample by the total sample size, reflecting observed frequency.
Pooled Proportion
Combines data from both samples to estimate a shared proportion, used in the denominator of the z-score formula.
Z-Score
Measures how far the difference between sample proportions deviates from the expected value under the null hypothesis.
P-Value
Probability of observing a result as extreme as the test statistic, used to assess evidence against the null hypothesis.
Alpha
Threshold for statistical significance, commonly set at 0.05, guiding the decision to reject or retain the null hypothesis.
Test Statistic
Numerical value calculated from sample data, used to determine the likelihood of the observed outcome under the null hypothesis.
COUNTIF
Excel function that counts cells meeting a specified criterion, useful for tallying categorical responses in data analysis.
NORM.S.DIST
Excel function that returns the cumulative probability for a standard normal distribution, converting z-scores to p-values.
Sample Size
Total number of observations in each group, essential for calculating proportions and variances.
Q Bar
Represents one minus the pooled proportion, used in variance calculations for the z-score denominator.
Left Tail Probability
Area under the normal curve to the left of the test statistic, relevant for one-sided hypothesis tests.
Categorical Data
Data type representing distinct groups or categories, such as yes/no responses, analyzed in proportion tests.
Inferential Statistics
Branch of statistics focused on drawing conclusions about populations based on sample data and hypothesis testing.