For the Given Binomial Sample Size and Null-Hypothesized Value of P0

Multiple Choice

For the given binomial sample size and null-hypothesized value of p0, determine whether the sample size is large
enough to use the normal approximation methodology to conduct a test of the null hypothesis $\mathrm { H } _ { 0 } : \mathrm { p } = \mathrm { P } 0$
-Consider the following printout. HYPOTHESIS: VARIANCE $X = x$
$$X = \text { gpa }$$
SAMPLE MEAN OF $X = 2.3827$
SAMPLE VARIANCE OF $X = .18000$
SAMPLE SIZE OF $X = 209$
HYPOTHESIZED VALUE $( x ) = 2.5$
VARIANCE $\mathrm { X } - \mathrm { x } = - .1173$
$z = - 3.99701$
Suppose we tested $H _ { \mathrm { a } } : \mu < 2.5$ . Find the appropriate rejection region if we used $\alpha = .05$ .

A) Reject if $\mathrm { z } < - 1.645$ .
B) Reject if $z > 1.645$ or $z < - 1.645$ .
C) Reject if $z < - 1.96$ .
D) Reject if $z > 1.96$ or $z < - 1.96$ .