STAT150 Lecture Notes - Lecture 11: Null Hypothesis, Absenteeism

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If the variable of interest is categorical and binary, the rq will concern population proportions, rather than means. If the success/failure condition have been met and the distribution of sample proportions can be assumed to be normal, we can use a one sample test for a population proportion. The null hypothesis for this test is h0: p = p0. H: h0: p = p0; h0: p p0. A: we need to (cid:272)he(cid:272)k that (cid:271)oth np (cid:1005)(cid:1004) and n(cid:395) (cid:1005)(cid:1004) T: z = p p (cid:3174)(cid:3175)n , where p is the sample proportion and q = 1 p. P: we will obtain the p-value from the two tails of the z distribution. D: only reject h0 when the p-value < 0. 05. C: we write a conclusion to the original rq in terms of the target population. Rq: do people read their insurance policy documents? n = 380, x = 164. H: h0: p = 0. 48; h0: p (cid:1004). (cid:1008)(cid:1012)

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