An iid sample n≥11 has a continuous strictly increasing CDF and median M. Test H₀:M=10 against H₁:M>10 by rejecting if T≥c, where T counts observations above 10. If T=t₀ is observed, find the p-value.
Under the null each observation exceeds the median with probability 1/2, independently. Therefore T~Bin(n,1/2). The one-sided alternative favors larger T, so the p-value is P₀(T≥t₀), the sum in **A**.
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