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 $$\mathrm { H } _ { 0 } : \mathrm { p } " \mathrm { P } 0$$
-$$\mathrm { n } = 90 , \mathrm { p } 0 = 0.3$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

The sample size is large enough for the normal approximation if both $n p_0$ and $n(1 - p_0)$ are greater than or equal to 5. Here, $n = 90$ and $p_0 = 0.3$, so $n p_0 = 90(0.3) = 27$ and $n(1 - p_0) = 90(0.7) = 63$. Both are greater than 5, so the normal approximation can be used.

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