For the Given Binomial Sample Size and Null-Hypothesized Value Of \mathrm

Multiple Choice

For the given binomial sample size and null-hypothesized value of $$\mathrm { P } 0 ,$$ determine whether the sample size is large
enough to use the normal approximation methodology to conduct a test of the null hypothesis $$\mathrm { H } _ { 0 } : \mathrm { p } " \mathrm { P } 0$$
-The business college computing center wants to determine the proportion of business students who have laptop computers. If the proportion exceeds $30 \%$ , then the lab will scale back a proposed enlargement of its facilities. Suppose 250 business students were randomly sampled and 75 have laptops. Find the rejection region for the corresponding test using $\alpha = .05$ .

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