Answer:
The percentage of attendees who will not buy popcorn is 82.5%.
Step-by-step explanation:
Total number of attendees at the showing is n = 160 .
Number of attendees who will buy popcorn is, X = 28.
Proportion of attendees who will buy popcorn is:
[tex]p=\frac{X}{n} \\=\frac{28}{160}\\ =0.175[/tex]
The proportion of attendees who will not buy popcorn is:
[tex]q=1-p\\=1-0.175\\=0.825[/tex]
The percentage of attendees who will not buy popcorn is: [tex]0.825\times100 = 82.5\%[/tex]
Thus, the percentage of attendees who will not buy popcorn is 82.5%.