STAT150 Lecture Notes - Lecture 7: Null Hypothesis, Statistical Parameter, Test Statistic

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In order to decrease the width of a ci but retain the same level of confidence (95%), we need to increase the sample size. Check success failure condition: np (cid:1005)(cid:1004) nq (cid:1005)(cid:1004) (cid:894)(cid:1005) - p = q ) Check sample drawn from a normal distribution or sample size large enough for clt to apply. Check from approx. normal distribution using histogram or sample size large enough for clt to apply sample drawn. Change t-critical value so that it cuts off the middle 99% If you were asked to provide a 99% ci for the population mean waiting time, what would. X = 3162 value of interest p = 0. 186: calculate a 95% ci to estimate the proportion of australians receiving weekly welfare payments in 2014. 95% ci = 0. 186 x 1. 96 x (cid:2868). (cid:2869)(cid:2876)(cid:2874)x(cid:2868). (cid:2876)(cid:2869)(cid:2872) (cid:2869)(cid:2875)(cid:2868)(cid:2868)(cid:2868) 23% = 0. 23 the number of people receiving welfare payments has significantly decrease: in 2001, 23% of australians were receiving welfare payments.

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