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

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Finding the sample size
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What does finding sample size involve in binomial distributions?

Working backwards from desired probability

How should you round the calculated value of nn when finding sample size?

Always round up to the next whole number

How can Pr(X≥1)\text{Pr}(X \geq 1) be rewritten using the complement rule?

1−Pr(X=0)1 - \text{Pr}(X = 0)

Which is NOT a requirement for binomial distribution?

Trials must have varying probabilities

When dividing by a negative logarithm in an inequality, what must you do?

Reverse the inequality sign

If probability of success is 0.480.48, what is probability of failure?

0.520.52

When should technology be used instead of algebra to find sample size?

When inequality can't be solved algebraically

What is the relationship between required probability and sample size?

Larger required probability needs larger n

For p=0.48p=0.48, what is smallest nn where Pr(X≥1)>0.95\text{Pr}(X \geq 1) > 0.95?

n=5n = 5

For p=0.48p=0.48, what is smallest nn where Pr(X≥2)>0.95\text{Pr}(X \geq 2) > 0.95?

n=8n = 8

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