Finding the Sample Size (VCE SSCE Mathematical Methods): Flashcards

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Finding the sample size
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Finding sample size means working from what to find nn?

Working backwards from desired probability

Why round up calculated sample size (e.g., n>4.58n > 4.58)?

Must be whole number; can't have fractional trials

Complement rule for Pr(X1)Pr(X \geq 1)

Pr(X1)=1Pr(X=0)Pr(X \geq 1) = 1 - Pr(X = 0)

Dividing by negative log in inequality does what?

Reverses the inequality sign

4 binomial distribution requirements

Fixed nn, two outcomes, constant pp, independent trials

Formula for Pr(X=0)Pr(X = 0) with success probability pp

(1p)n(1-p)^n or qnq^n where q=1pq = 1-p

When to use technology for sample size?

When inequality can't be solved algebraically

Rearrange Pr(X1)>0.95Pr(X \geq 1) > 0.95 using complement

Pr(X=0)<0.05Pr(X = 0) < 0.05

Larger required probability needs what sample size?

Larger sample size

What does nn represent in binomial problems?

Number of trials or sample size

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