When the data matches the expectations of the null hypothesis, the x2 value will be __________________ Any deviations from those expectations leads to a ____________
When the data matches the expectations of the null hypothesis, the χ^2 value will be small or close to zero
When the data matches the expectations of the null hypothesis, the χ^2 value will be small or close to zero. This means that there is little or no significant deviation from what was expected under the null hypothesis.
On the other hand, any deviations from those expectations leads to a larger χ^2 value. A larger χ^2 value indicates a greater discrepancy between the observed data and the expected values under the null hypothesis. This suggests that there may be a significant relationship or difference between the variables being studied.
In statistical terms, the χ^2 value is a measure of the goodness of fit between observed data and expected data. It is used in chi-square tests, which are commonly employed in various statistical analyses to determine if there is a significant association or independence between categorical variables. By comparing the observed data to the expected values, the χ^2 test assesses whether any discrepancies indicate a real relationship or if they occurred by chance alone.
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