# Compare fund managers with insignificant alphas?

For my thesis I am evaluating two mutual fund portfolios in order to check for differences in manager performance. My hypothesis is that there will be no differences in performance (in terms of alpha) between the two portfolios. Unfortunately even though one group seems to outperform the other all alphas are statistically insignificant. Do I reject the hypothesis (because one outperforms the other) or accept the hypothesis (because none of the alphas are signficant)? Thanks in advance

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Go through the mathematical statistics: Is the test $H_o: \alpha_1 \not= \alpha_2$ equivalent to two separate tests of $H_o: \alpha_1 \not= 0$ and $H_o: \alpha_2 \not= 0$? –  user2763361 Dec 29 '13 at 7:11

$R_p$ = $B_0$ + $B_t$$R_m + B_e$$R_m$+ $e$