A clinic's usual missed-appointment probability is 0.2. Management suspects that it has increased. For X∼B(30,0.2)X\sim B(30,0.2)X∼B(30,0.2), P(X≥10)=0.0611P(X\geq10)=0.0611P(X≥10)=0.0611 and P(X≥11)=0.0256P(X\geq11)=0.0256P(X≥11)=0.0256.
State suitable hypotheses.
Determine the critical region for an upper-tailed 5% test.
On one day 11 appointments are missed. State the conclusion in context.