Lecture 5 Introduction to Hypothesis tests. Quantitative Methods Module I Gwilym Pryce [email protected] Notices:. Register Class Reps and Staff Student committee. Aims & Objectives. Aim To introduce hypothesis testing Objectives
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z = (34.5 - 30)/(20/200)
= 4.5 / 1.4
H1: m > m0 then P = Prob(z > zi)
H1: m < m0 then P = Prob(z < zi)
H1: mm0 then P = 2xProb(z > |zi|)
E.g. The obesity threshold for men of a particular height is defined as weighing over 187lbs; mean weight of men in your sample with this height is 190.5lbs, sd = 13.7lbs, n = 94. Are the men in your sample typically obese?
H0: m = 187lbs
H1: m > 187lbs
(i) strictly speaking our approximation for the SE of the mean has a t rather than z distribution
(ii) t tends towards the z distribution when n is large