STAT151 Lecture Notes - Lecture 15: Confidence Interval, Simple Random Sample, Null Hypothesis

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STAT151 Full Course Notes
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Section 10 (chapters 16-19) - inferences for one and two population proportions: two types of proportion inferences, one population proportion, two population proportions. Assumptions and conditions of the sample proportion distribution. One-proportion z-test: check purpose and assumptions to confirm this is an appropriate test. Purpose of test - to check for differences between a population proportion (based on a sample proportion) and a hypothesized proportion (p0) Simple random sample; independent sampling: 10% condition. Alter(cid:374)ati(cid:448)e hypothesis (cid:894)o(cid:374)e of the follo(cid:449)i(cid:374)g(cid:895) i. ha: p p0 (two-tailed) ii. ha: p < p0 (left-tailed) iii. ha: p > p0 (right-tailed) Obtain the calculated value of the test statistic. Decide whether to reject or accept the null hypothesis and state the strength of evidence. Significance level (alpha) = probability of making a type 1 error: p-value taken from a table and based on the calculated test statistic = observed probability of a type 1 error. Hypothesis test general formula: test statistic = estimate - h0 value / se.

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