STAT150 Lecture Notes - Lecture 12: Investment Fund, Sports Betting

• School: Macquarie University
• Department: Statistics
• Course: STAT150
• Professor: Petra Graham

Document Summary

Rq: determine whether there is a significant difference b/w preferences for brands a and b. H: h0: p = 0. 5; h1: p 0. 5. A: (cid:374)p = (cid:374)(cid:395) = 75 x (cid:1004). 5 = 37. 5 (cid:1005)(cid:1004), the su(cid:272)(cid:272)ess (cid:272)o(cid:374)ditio(cid:374)s ha(cid:448)e (cid:271)ee(cid:374) (cid:373)et test is valid. T: z = (cid:2926) (cid:2926) (cid:3174)(cid:3175)n = (cid:3120)07(cid:3121) 0. 5. P: p-value = 2 x (1 0. 718) = 0. 564. C: there is no evidence that the proportion of people preferring brand a is different to 0. 5. It appears that brand a and b may be equally popular. H: h0: pa = 0. 5, pb = 0. 5; h1: the proportions are not as stated. A: the expe(cid:272)ted (cid:448)alues a(cid:396)e all 5 so the test is (cid:448)alid. T: 2 = 0. 16667 x 2 = 0. 333 with 1 df. D: since p-(cid:448)alue (cid:1004). (cid:1004)5, (cid:449)e do (cid:374)ot (cid:396)eje(cid:272)t h0. C: it appears that brand a and b may be equally popular. Quiz 2: a sample drawn form a target population.