A high school newspaper claims that $15\%$ of all students experienced extreme levels of stress during the past month. Skeptical about this claim, you decide to take a simple random sample of $80$ of the $1000$ students at the school, and ask them if they experienced extreme levels of stress during the past month. Subsequently, you find that $20\%$ of the sample replied “yes” to your question. **Assuming that the newspaper’s $15\%$ claim is correct, what is the approximate probability that $20\%$ or more of $80$ randomly selected students from this school would report that they experienced extreme levels of stress during the past month?** *Round your answer to the nearest hundredth.* [[☃ numeric-input 1]]