Soft Drink
a Soft Drink Dispenser Is Set to Automatically $\beta$

Soft drink
A soft drink dispenser is set to automatically dispense drinks and ice in 8 oz.cups.The machine is set to fill the cups with 7 1/4 oz.so that the liquid will not run over the top of the cup.The company is getting complaints that the machine is filling the cups too full and spilling over.When the machine is operating properly,only 1% of the cups will not be filled properly.The production manager conducted a one-tail hypothesis test at the 0.01 level to check the machine.A sample of 50 fills was measured.
-What is the probability that the manager will fail to reject a false H₀ if the actual population proportion of defects is 0.03?
Z = ____________________
$\beta$ = ____________________