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Section 5.6: Normal as Approximation to Binomial
- Use Triola & Triola’s rule of thumb to determine when the normal distribution approximation to the binomial distribution is appropriate.
- Determine the appropriate mean and standard deviation for the normal distribution approximating a binomial distribution with n trials and success probability p.
- Explain why, in terms of the probability histogram for a binomial distribution, the continuity correction is desirable when computing binomial probabilities using the normal density histogram. You will not need to use the continuity correction on homework and exams.
- For a binomial random variable X with n trials and success probability p, use the normal distribution approximation to the binomial distribution to compute binomial probabilities such as P(X≤x), P(X<x), P(X≥x), P(X>x), and P(X=x).
Section 7.3: Testing a Claim About a Proportion
- Recognize the notation p for the population proportion and ˆp for the sample proportion.
- State the appropriate null and alternative hypotheses when given a claim about a population proportion.
- State the Z test statistic for a population proportion.
- Test a claim about a population proportion p using the appropriate Z test statistic for the population proportion using:
- The Traditional Method, using a rejection region
- The P-value Method
- State when a hypothesis test for the population proportion p using the Z test statistic is appropriate.
- State the margin of error for a population proportion p when we use the normal distribution approximation to the binomial distribution.
- Construct a confidence interval for the population proportion p using the normal distribution approximation to the binomial distribution.