How Many Tissues Should a Package of Tissues Contain? Researchers $\bar { x } = 56 , s = 25$

Multiple Choice

How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 62 tissues during a cold. Suppose a random sample of 10,000 people yielded the following data on the number of tissues used during a cold: $\bar { x } = 56 , s = 25$ . We want to test the alternative hypothesis $H _ { \mathrm { a } } : \mu < 62$ . State the correct rejection region for $\alpha = .05$ .

A) Reject $H _ { 0 }$ if $z > 1.96$ or $z < - 1.96$ .
B) Reject $H _ { 0 }$ if $z < - 1.96$ .
C) Reject $H _ { 0 }$ if $z < - 1.645$ .
D) Reject $H _ { 0 }$ if $z > 1.645$ .