Approximating the Distribution of the Sample Proportion (VCE SSCE Mathematical Methods): Quizzes

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Approximating the Distribution of the Sample Proportion
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10 questions from this quiz

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For what sample size is exact calculation of sample proportion probabilities practical?

Less than 10

What symbol represents the population proportion?

pp

Why do different samples from the same population have different sample proportions?

Natural consequence of random sampling

Where is the distribution of sample proportions centered?

At the population proportion pp

What conditions must both be true for normal approximation to apply?

np>5np > 5 and n(1p)>5n(1-p) > 5

What is the mean of the sample proportion P^\hat{P} distribution?

μ=p\mu = p

What is the standard deviation formula for P^\hat{P}?

σ=p(1p)n\sigma = \sqrt{\frac{p(1-p)}{n}}

What is the syntax for randbin in TI-Nspire to generate sample proportions?

randbin(sample size, p, num samples)/n

What does the mean of sample proportions from repeated samples estimate?

The population proportion

If n=100n=100 and p=0.55p=0.55, what is σ\sigma for P^\hat{P} (to 4 d.p.)?

0.0497

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