It is known that 34% of parcels packed on a production line have damaged outer packaging. A new packing procedure is introduced, and the manager believes that this proportion has decreased.
A random sample of 50 parcels packed under the new procedure is taken, and X X\,X is the number with damaged outer packaging. A test is to be carried out at the 5% significance level.
Let p p\,p be the population proportion of parcels with damaged outer packaging under the new procedure. The null hypothesis is H0H_0H0: p=0.34p=0.34p=0.34.
State the alternative hypothesis.
Find the critical region for this test.
Find the actual significance level of a test based on this critical region.
In the sample, 10 parcels have damaged outer packaging. State the conclusion in context.