Question

1. buddy 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:

h₀: p ≥ 0.85
hₐ: 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 blank 0.05, i will blank h₀. i blank have enough evidence to conclude that the proportion of children on the nice list is blank.
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

p-value = 0.123 > α = 0.05

Step2: Decide on H₀

Fail to reject H₀ (since p-value > α)

Step3: Conclude about proportion

No enough evidence to support Hₐ (p > 0.85), so can't conclude proportion > 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 more than 0.85.