Contingency Tables (Grade 11 NSC Matric Mathematics): Quizzes

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Contingency Tables
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What is the main purpose of a contingency table?

To organize data and test independence

How many possible combinations does a two-way contingency table show?

Four

What is the most important first step when working with contingency tables?

Complete the contingency table

For P(positive if female)P(\text{positive if female}), what should the denominator be?

Total females

For P(female and positive)P(\text{female and positive}), what should the denominator be?

Total participants

Events A and B are independent if and only if:

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

When testing independence, what do you compare?

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

In Example 1, with 120 females and 50 positive, what is P(positive if female)P(\text{positive if female})?

512\frac{5}{12}

In Example 2, if 6 of 9 learners without cellphones are Grade 11, what is the probability?

23\frac{2}{3}

Which statement about denominators in probability calculations is correct?

Conditional uses subset; joint uses total

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