Answer:
The percentage of attendees who will not buy popcorn is 82.5%.
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:
![p=(X)/(n) \\=(28)/(160)\\ =0.175](https://img.qammunity.org/2021/formulas/mathematics/college/ergzsddxb4aghwqc5x3ycpks4co4ebsoob.png)
The proportion of attendees who will not buy popcorn is:
![q=1-p\\=1-0.175\\=0.825](https://img.qammunity.org/2021/formulas/mathematics/college/igqvvbd9rcdrjet3gmtfhirhwc5p9d9ot2.png)
The percentage of attendees who will not buy popcorn is:
![0.825*100 = 82.5\%](https://img.qammunity.org/2021/formulas/mathematics/college/m7vsq5yv386jfwaugw83j8rc0nyxn9o3mx.png)
Thus, the percentage of attendees who will not buy popcorn is 82.5%.