Question

A poll of 72 seniors, taken three weeks before the selection of the school Homecoming Queen, identified 60 who planned to vote for Jenny Wonderful. Unfortunately, a week after the poll was taken, the school newspaper ran an article that quoted Jenny slandering her opponents. Another poll of 80 seniors taken shortly after the article appeared showed that 56 planned to vote for Jenny.

Required:
Does this indicate a significant drop in support for Jenny?

Answer 1

Yes

Explanation:

Initially it is provided that out of a total of 72 people 60 planned to vote for Jenny. This ratio as percentage shall be =
`(60)/(72) * 100` = 83.33%

Later on the number of seniors polling in the survey increased to 80.

Now, out of 80 seniors, 56 planned to vote for Jenny.

In the percentage form this shall be

`(56)/(80) * 100 =` 70%

Thus, there is a change of 83.33% - 70% = 13.33%

This shall be considered a significant drop as it is more than 10% in an audience size of less than 100.