adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new online learning module increased placement scoresat a significance level of = 0.05. For the context of this problem,_D=_new-_old where the first data set represents the new test scores and the second data set represents old test scores.Assume the population is normally distributed.

H₀: _D = 0

H₁: _D < 0

obtain the followingpairedsample of 19 students that took the placement test before and after the learning module:

New LM: 57.1, 58.3, 83.6, 49.5, 51.1, 20.6, 35.2, 46.7, 22.5, 47.7, 51.5, 76.6, 28.6, 14.5, 43.7, 57, 66.1, 38.1, 42.4

old LM:

55.8, 51.7, 76.6, 47.5, 48.6, 11.4, 30.6, 53, 21, 58.5, 42.6, 61.2, 26.8, 11.4, 56.3, 46.1, 72.8, 42.2, 51.3

Find the p-value. Round answer to 4 decimal.

Choose correct decision and summary.

_Reject H₀, there is enough evidence to support the claim that on average the new online learning module increased placement scores.

_Do not reject H₀, there is not enough evidence to support the claim that on average the new online learning module increased placement scores.

_Do not reject H₀, there is enough evidence to support the claim that on average the new online learning module increased placement scores.

_Reject H₀, there is not enough evidence to support the claim that on average the new online learning module increased placement scores.