For a two-tailed binomial test with n = 100, $\alpha$ = .05, and a null hypothesis stating that p = 0.10, a score of X = 13 would be sufficient to reject the null hypothesis.

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In a two-tailed binomial test with n = 100, p = 0.10, and $\alpha$ = 0.05, the critical region is determined by the cumulative probabilities at both tails. A score of X = 13 is not extreme enough to fall into the critical region for rejecting the null hypothesis.

For a Two-Tailed Binomial Test with N = 100 α\alphaα = 05, and a Null Hypothesis Stating That P = 0

For a Two-Tailed Binomial Test with N = 100 $\alpha$ = 05, and a Null Hypothesis Stating That P = 0