STAT 1000Q Lecture Notes - Lecture 17: Test Statistic

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Robert Apruzese

Document Summary

Statistic notes 1000q- lecture #17-other forms of hypothesis testing. Reject h0 if the test stat is too far to the left. When rejecting h0: if z value (the area left of z) is less than the rejection value (cid:894) (cid:895), (cid:455)ou reje(cid:272)t the h(cid:1004) a(cid:374)d a(cid:272)(cid:272)ept. When accepting h0, the area to the left of z is greater than the rejection region (cid:894) (cid:895) Ford claims their car gets 32 mpg. They sample 60 cars to get a sample mean of 30. 7 mpg. With such a small rejection region, ford would be happy. Xbar- m(cid:1004) / sd x (cid:374) = -2. 65. The p-value of z is less than the 0. 01 rejection region. We reject the h0 and conclude that the mean mpg is statistically significantly less than 32 mpg at a sig level of 0. 01. Suppose in a left-tailed z-test, the p-value is 0. 17. You do(cid:374)"t k(cid:374)o(cid:449) if (cid:455)our test stat is goi(cid:374)g to (cid:271)e positi(cid:448)e or (cid:374)egati(cid:448)e.