Hi please could you help me with this question:

Tiana is a quality controller in a clothes factory. She checks for four possible types of defects in shirts. Of the shirts with defects, the proportion of each type of defect is as shown in the table below.

Type of defect: Colour Fabric Sewing Sizing

Probability 0.25 0.30 0.40 0.05

(Basically the probability of the defect being colour is 0.25, the probability of it being fabric is 0.30, the probability of it being sewing is 0.40, and the probability of it being sizing is 0.05)

Shirts with defects are packed in boxes of 30 at random

Tiana wants to investigate the proportion, p, of defective shirts with a fabric defect. She wishes to test the hypotheses H0 : p 0:3 H1 : p < 0:3 She takes a random sample of 60 shirts with a defect and finds that x of them have a fabric defect. Using a 5% level of significance, find the critical region for x.

I'm not sure if all of the information will be relevant, as it is one of the questions, but here is all of the information.

Thank you