Question

rudely the elf is sad to hear the claim that the proportion of children on the nice list is less than 85%. to test this claim, he sets up these hypotheses:
$h_0: p = 0.85$
$h_a: p < 0.85$

the p - value for the test is 0.123. fill in the blanks below to give the conclusion of this hypothesis test.

because 0.123 \underline{\quad\quad} 0.05, i will \underline{\quad\quad} $h_0$.
i \underline{\quad\quad} have enough evidence to conclude that the proportion of children on the nice list is \underline{\quad\quad}.

drag and drop the correct choice into the blank spaces above
options: do not, not 0.85, fail to reject, less than 0.85, >, <, reject, do, more than 0.85, =

Explanation:

Step1: Compare p-value and α

0.123 > 0.05

Step2: Decide on H₀

Fail to reject H₀ since p-value > α

Step3: Conclude evidence

No enough evidence for Hₐ (p < 0.85)

Answer:

Because 0.123 > 0.05, I will fail to reject H₀. I do not have enough evidence to conclude that the proportion of children on the nice list is less than 0.85.