B.4 tests for proportions

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B.4 tests for proportions

  1. 1. Large Sample Test for a Proportion
  2. 2. Conditions • Simple random Sample • Each sample point has just two possible outcomes (success and failure) • Sample includes at least 10 successes and 10 failures (np>10 and nq>10 ) • Population size is at least 10 times larger than the sample
  3. 3. Conducting a Hypothesis test 1- state the hypothesis: Ho & Ha (mutually exclusive) 2- Analysis Plan * one sample z-test to determine whether the hypothesized population proportions differs significantly from the observed sample proportion 3- Analyze: find the TS and its associated P-value * SD (σ) of a sampling distribution p= hypothesized value of population proportion in null hypothesis *TS: z-score: z= (p*- p) p*= sample proportion σ σ= SD of sample statistic *P-value- probability of observing a sample statistic as extreme as the TS (USE appendix A) 4- Interpret- compare the P-value to the significance level and reject null when the P-value is less than the Significance level
  4. 4. Choosing the sample size

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