In a random sample of 80 children (i.e. trials, n) from Illinois, 23 were undernourished (i.e. events). Therefore, p^=23/80=0.2875.

Use the information above, Minitab, and the five-step hypothesis testing procedure outlined below to determine if there is evidence that the population proportion of all children in Illinois who are undernourished is different from 0.5.

Question set 1:

Step 1a: Check the assumptions below. Note: Use p₀=0.5 (since we want to know if the population proportion is different from 0.5). i. Is np₀ 10? Show your work. ii. Is n(1-p₀) 10? Show your work.