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 $\mathrm { H } _ { 0 } : \mathrm { p } = \mathrm { P } 0$
-$$\mathrm { n } = 80 , \mathrm { p } 0 = 0.4$$
A) No
B) Yes

Question

Quizplus · Accepted Answer

The sample size is large enough if both $ n \times p_0 $ and $ n \times (1 - p_0) $ are greater than or equal to 5. Here, $ 80 \times 0.4 = 32 $ and $ 80 \times 0.6 = 48 $, both of which are greater than 5.

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