Chi Squared Tests for Contingency Tables (Edexcel A-Level Further Mathematics): Quizzes

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Chi Squared Tests for Contingency Tables
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What defines two events as statistically independent?

One occurring doesn't affect the other

Which formula shows events AA and BB are independent?

P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)

What is the null hypothesis in a chi-squared test for independence?

The two events are independent

What is the minimum expected frequency to avoid large errors in chi-squared tests?

5

What is the contribution formula for chi-squared tests?

(OE)2E\frac{(O - E)^2}{E}

How are degrees of freedom calculated for contingency tables?

(rows1)×(columns1)(rows - 1) \times (columns - 1)

When do you reject H0H_0 in a chi-squared test?

χcalc2>χcrit2\chi^2_{calc} > \chi^2_{crit}

When should Yates' correction be applied?

When r=1r = 1

What is the Yates' correction formula?

(OE0.5)2E\frac{(|O - E| - 0.5)^2}{E}

What should you do if expected frequencies are less than 5?

Combine columns

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