MTH 380 Lecture Notes - Lecture 5: Null Hypothesis

• School: Ryerson University
• Department: Mathematics
• Course: MTH 380
• Professor: Bozena Todorow

Document Summary

H0: p1 p2 = d (d = 0) do not pool the data nx (cid:883) p (cid:884) p (cid:883) H0: p1 p2=0 p (cid:523) p (cid:883) p (cid:884) (cid:524) p (cid:523) (cid:883) p (cid:524) (cid:523) n(cid:883) p (cid:884) (cid:524) (cid:523) p (cid:883) p (cid:884) (cid:523) (cid:883) p (cid:883) (cid:524) p (cid:883) (cid:523) (cid:883) p (cid:884) (cid:524) Calculate the pooled proportion x 1 x 2 n1 n2 ( p 1 p 2 ) n1 ) 12. Simple packaging is distributed in to outsell the second design. supermarket 2. Supermarket 1 - 180 purchasers of johnson brothers soap out of a total of 904. Supermarket 2 - 155 purchasers of johnson brothers soap out of a total of 1,038. Use 5% significance level and perform a test to find which type of packaging to use. The problem objective is to compare the population of sales of the two packaging designs. The data are nominal (johnson brothers or other soap)