A two$-$sample test for means was conducted to determine if the completion time for continuing education programs for nurses differed when costs are paid by employers $($Yes$)$ versus when individuals paid out of his or her own funds $($No$).$ The Excel Data Analysis tool results are below. What conclusion can we draw if the null hypothesis is $HO$:$Y-N0$

$\backslash$table$[[,$Yes,No$],[$Mean$,33\mathrm{.}846,28\mathrm{.}125],[$Variance$,446\mathrm{.}47,349\mathrm{.}55],[$Observations$,13,8],[$Hypothesized Mean Difference,$0,],[df,16,],[t$ Stat,$0\mathrm{.}648,],[P(Tt)$ one$-$tail,$0\mathrm{.}263,],[t$ Critical one$-$tail,$1\mathrm{.}746,],[P(Tt)$ two$-$tail,$0\mathrm{.}526,],[t$ Critical two$-$tail,$2\mathrm{.}12,]]$

Reject HO$.$ Means do not differ.

Do not reject HO$.$ Means do not differ.

Reject HO$.$ Mean for Yes is lower than mean for No$.$

Do not reject HO$.$ Mean for Yes is at least as high or higher than mean for No$.$