1st question According to a toy business, at least 80% of girls under the age of eight prefer dolls to other forms of toys. We believe that this allegation is exaggerated after observing the...

Extracted text: 1st question According to a toy business, at least 80% of girls under the age of eight prefer dolls to other forms of toys. We believe that this allegation is exaggerated after observing the purchasing patterns of many girls under the age of eight. To disprove this notion, we study the purchasing patterns of 20 randomly selected girls under the age of eight, and we count X, the number of girls who purchase stuffed toys. We want to see if HO: p = 0.8 holds up against H1: p 0.8. Let's say we decide to accept HO if x> 12 (i.e. X 13). This suggests that if X 12 (I.e. X 13) is true, we will reject HO. a. Find the rejection region of the form a = 0.05 %3D